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Teacher Learning of Technology-Enhanced Formative Assessment

by Ian D Beatty, Allan Feldman, William J Leonard, William J Gerace, Karen St Cyr, Hyunju Lee, Robby Harris
Journal of Science Education and Technology (2008)

Abstract

Technology-Enhanced Formative Assessment (TEFA) is a pedagogy for teaching with classroom response technology. Teacher Learning of TEFA is a five-year research project studying teacher change, in the context of an intensive professional development program designed to help science and mathematics teachers learn TEFA. First, we provide an overview of the project's participating teachers, its intervention (consisting of the technology, the pedagogy, and the professional development program), and its research design. Then, we present narratives describing the unfolding change process experienced by four teachers. Afterward, we present some preliminary findings of the research, describe a "model for the co-evolution of teacher and pedagogy" that we are developing, and identify general implications for professional development.

Cite this document (BETA)

Available from Ian Beatty's profile on Mendeley.
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Teacher Learning of Technology-Enhanced Formative Assessment

Teacher Learning of
Technology-Enhanced Formative Assessment
Ian D. Beatty, Allan Feldman, William J. Leonard, William J. Gerace,
Karen St. Cyr, Hyunju Lee, Robby Harris
Scientific Reasoning Research Institute
University of Massachusetts Amherst
Technology-Enhanced Formative Assessment (TEFA) is a pedagogy for teaching with
classroom response technology. Teacher Learning of TEFA is a five-year research
project studying teacher change, in the context of an intensive professional development
program designed to help science and mathematics teachers learn TEFA. First, we
provide an overview of the projects participating teachers, its intervention (consisting of
the technology, the pedagogy, and the professional development program), and its
research design. Then, we present narratives describing the unfolding change process
experienced by four teachers. Afterward, we present some preliminary findings of the
research, describe a “model for the co-evolution of teacher and pedagogy” that we are
developing, and identify general implications for professional development.
This paper is a slightly elaborated version of the “script” for our presentation at the 2008 conference of the National
Association for Research in Science Teaching in Baltimore, Maryland, USA. It was presented in Strand 4 (”Science
Teaching—Secondary School”) from 2:00 to 3:30 on Tuesday, April 1. We have deliberately retained an informal,
conversational manner here, and tried to mimic a little of the accompanying slides style.
The project and its presentation have been funded by the US National Science Foundation through its Teacher
Professional Continuum program, grant number TPC-0456124.
part 0: introduction
We are interested in teacher change: in promoting it, supporting it, and understanding it. That
means were interested in the process of teacher change — how teachers change their views,
their capacities, their practices, and their “way of being a teacher” (Blum, 1999; Davis, Feldman,
Irwin, Pedevillano, Capobianco & Weiss, 2003).
Abundant evidence documents the gap between the science education research communitys
general knowledge of what makes for effective instruction and what happens every day in many
classrooms (Bransford, Brown & Cocking, 1999). There is also abundant evidence that most
teachers really want to do their jobs as well as possible, but that pedagogical change is hard,
and most interventions fail, or at least succeed only weakly compared to the aspirations of their
designers (Kennedy, 2006).
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We dont think enough is known about how teacher change occurs, why it is difficult, or how we
can better facilitate it.
Teacher Learning of Technology-Enhanced Formative Assessment (TLT) is a five-year research
project focused on studying teacher learning and pedagogical change. Our goals today are to
tell you a little bit about the project, to give you a glimpse through our window into teacher
change, and to share some of our preliminary findings.
The core of this presentation, in part 2, consists of four stories: narratives of teacher change for
four of our participating teachers. But first, in part 1, well describe the context of those stories:
our project participants, our intervention, and our research design. At the end, in part 3, well
describe some general findings that cut across these four cases and others, present a model of
teacher change that weve been developing, and identify some implications for professional
development.
part 1: context
To study teacher change, we need three ingredients: teachers, an intervention that induces
change, and a research design for observing that change.
a. the teachers
We are working with approximately 39 teachers from three school systems. We say
“approximately” because there is some attrition, and the number depends on exactly when you
count. The total number about whom we have at least a little data is larger; the number currently
active is smaller.
We have four “sites” in three school districts, all in western Massachusetts. Weve staggered the
start dates to distribute the load on our professional development and research staff, and to
provide us the opportunity for mid-course corrections.
Our first site is a combined middle-and-high school in a rural multi-town district. For a while it
was flirting with a “high needs” designation, but seems to have escaped that. We began our first
intervention year there — in August 2006 — with ten participating teachers, six from the high
school and four from the middle school. Four taught science (two at each level), and the
remainder taught math. After the first intervention year ended, four teachers left the project for
various reasons, although two indicated that they wanted to continue practicing the pedagogy,
but without participating in professional development or data collection activities.
Our second site, begun one year later, is a high school in a diverse college town. These
teachers were so enthusiastic that they basically pestered us into letting them join; we
accommodated them by switching from a two-site to a three-site design. All seven teachers of
the science department are participating, as well as one math teacher.
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Our third and fourth sites have just recently been organized, and the intervention will begin in
August 2008. The third site is one of the largest high schools in western Massachusetts, in a
sprawling suburban area adjacent to a large city. We have ten science teachers and one math
teacher participating, as well as one science teacher from the nearby vocational school.
As we were negotiating with that school, the districts middle school teachers asked to join. The
opportunity to learn more about how our pedagogy and professional development work at the
middle school level, and to impact an entire districts secondary schools at once, was too good
to pass up. So, we combined the interested teachers from the two middle schools into a fourth
“site” that will run in parallel with the third site. This fourth site has eight teachers, all in science.
(This causes our total number of participants to significantly exceed the number we planned on.
Due to unforeseen economies, our budget can handle this, but it will place a severe strain on
our person-power, and we will be forced to become more efficient. This is not necessarily bad,
since we want to look down the road towards scalability, anyway.)
So, you can see that we have quite a mix of math and science, middle and high school,
although were slanted towards high school science since that was our original focus and
mandate.
We also have a cross-section of socioeconomic types. Its not quite as broad as we wanted: we
tried hard to find an urban school with a large minority population that we could partner with,
and we came close, but the ones we negotiated with couldnt pull together the basic technical
infrastructure that the project required. Which, of course, simply highlights the difficulties facing
that kind of school district.
b. the intervention
The second ingredient of our study is the intervention. Our intervention consists of a hook, a
pedagogy, and a professional development program.
the hook
The hook is the bit that catches teachers attention and captures their initial interest. Its not a
shallow gimmick, but rather something distinctive and characteristic that they can immediately
see potential in. Our hook is the use of classroom response system (CRS) technology, known
informally as “clickers” (Beatty, 2004; Dufresne, Gerace, Leonard, Mestre & Wenk, 1996; Fies &
Marshall, 2006).
In essence, a CRS is nothing more than a set of simple transmitters that students use to send in
their answers to some question; a receiver and software that runs on the teachers computer ,
collecting and instantly aggregating answers from the whole class; and a way to display the
distribution of answer choices to the teacher and the students, typically as a histogram on a
data projector or wall-mounted monitor. In our experience, CRSs are becoming increasingly
common in universities (Banks, 2006), but are still rare in K-12 schools.
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A CRS is just a tool, and a teacher can use that tool for many, many different purposes. This
raises the question of what a teacher should use one for. And that is where our pedagogy
comes in.
the pedagogy
The “pedagogy” part of our intervention is something weve been developing since 1993. It
began in the context of university physics, expanding to other subjects and into secondary
schools. We call it Technology-Enhanced Formative Assessment — “TEFA” for short. Its
quite rich and rather carefully designed, and we could easily fill a ninety-minute session talking
about just that. So, well barely scratch the surface here. A more detailed description of some of
its components and aspects is available in previous writings (Dufresne et al., 1996; Beatty,
Leonard, Gerace & Dufresne, 2006), and we are currently preparing a definitive exposition and
defense for journal publication.
At the heart of TEFA, defining and directing it, are four core principles: question-driven
instruction, dialogical discourse, formative assessment, and meta-level communication.
1. Motivate and focus student learning with question-driven instruction (QDI). This means
posing tough, rich, meaty, often messy questions to students in order to contextualize and
motivate subsequent learning, and often in order to catalyze or precipitate learning. It is
grounded in the conceptual change tradition (Scott, Asoki & Leach, 2007). It is motivated by
an understanding that students perceive, process, and store information differently in
response to a need, and that they “get” ideas by wrestling with the application of those ideas
(Bransford et al., 1999, p. 139).
2. Develop students understanding and scientific fluency with dialogical discourse (DD). This
means engaging students in discussion in which multiple ideas and ways of thinking are
explored and contrasted, and in which students articulate and explore their own thinking. It is
grounded in the sociocultural tradition (Carlsen, 2007; Mortimer & Scott, 2003). It is
motivated by an understanding that learning science largely means learning the social
language of science (Bakhtin, summarized in Wertsch, 1991, pp. 93-118), and one must
practice speaking a language to develop fluency. It is also motivated by an understanding
that the tools students use for internal cogitation are appropriated from social interactions
(Vygotsky, 1987).
3. Optimize teaching and students learning with formative assessment (FA) In this context,
this means making students knowledge and thinking visible in order to adjust and optimize
subsequent learning and teaching. It is motivated by an understanding that effective
instruction requires detailed and current information about the specific students being taught,
and that effective learning requires accurate self-knowledge (Wiliam, 2007). According to a
seminal literature review by Paul Black and Dylan Wiliam (1998), educational “innovations”
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involving formative assessment produce learning gains that are among the largest ever
found for educational innovations.
4. Help students cooperate in the learning process and develop metacognitive skills with meta-
level communication (MLC). This means communicating about communication, about
cognition, about learning, and about the purposes of instructional experiences. It is grounded
in literature on student motivation and self-regulation (Koballa & Glynn, 2007; Wilson, 2006).
It is motivated by an understanding that learning works better when students frame their
participation appropriately and understand what they are supposed to be paying attention to
(Hammer, 1996; Hammer & Elby, 2003).
These four principles are not independent and arbitrary beliefs. Rather, they interlock and
reinforce each other in a highly synergistic way. This can be seen in the way they come together
in the question cycle, the canonical or prototypical way that TEFA is enacted in the classroom
(figure 1).
The teacher begins a cycle by presenting a question or problem to the class. Students think
about it, ether individually or talking in small groups, and and decide upon their answers. They
then enter their responses into their classroom response system transmitters. The software
aggregates the answers and constructs a histogram indicating how many students have picked
each answer, which the teacher shares with the class.
Then, the teacher moderates a whole-class discussion about the question. This typically
begins by asking for volunteers to explain the reasoning behind their particular choice. “I see
someone chose not enough information. Could you tell me what else you would like to know in
order to solve it?” “Several people picked answer three. Who can give me an argument why
thats a good choice?” “Hm, okay . Did
anyone have a different reason for
choosing that same answer?”
The teachers initial goal is to draw out
the range and diversity of thinking behind
different answers, in as much depth and
rigor as possible, and then to evolve the
discussion of these into examination and
comparison of the ideas, exploration of
related topics, and development of
understanding or insight. Finally, the
teacher ends the cycle by providing some
kind of summary, micro-lecture, or other
closure, and then transitioning to
another question or a different activity (or
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Figure 1: The TEFA “question cycle”.
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perhaps ending class).
We often use a sequence of related questions to develop students understanding of some set
of ideas, homing in on the desired learning through multiple iterations of the question cycle.
It is important to understand that TEFA, enacted in the question cycle, is not meant as a “drop-
in” for occasionally quizzing students about what they are supposed to have learned already. It
is intended to contextualize, motivate, and actually precipitate student learning, as well as to
keep the teacher well informed about students understanding and thinking. W e do not mean
that a K-12 teacher should use TEFA for all of their class time every day, but we do advocate it
as a regular engine of learning, something used frequently and predictably to drive instruction,
with other activities surrounding it and relating to it.
the professional development program
Our intervention includes a professional development program designed to help our
participating teachers learn to use the CRS technology and implement the TEFA pedagogy. In a
sense, the intervention is the PD program, although it is inseparable from the technology and
pedagogy.
TEFA isnt lightweight, and neither is our PD. W eve tried to design in known best practices
from the in-service teacher PD literature (Supovitz & Turner, 2000; Ball & Cohen, 1999;
NEIRTEC, 2004). As we gain experience implementing it, we make improvements for each
subsequent site.
Because were working with several teachers at a time from one school (or from nearby schools
with a close administrative relationship), we can provide all PD on-site, at the teachers own
schools. This is efficient for the teachers, and we expect it to reduce absenteeism at PD
meetings.
Because we work with a critical mass of teachers from a school, and especially from its science
department, we can foster a community of peers who learn together, act as a problem-solving
resource for each other, and sometimes collaborate on question design (curriculum).
The PD program is intensive. We begin with a four-day workshop in August, where we paint the
“big picture” of TEFA, provide some hands-on time using the technology and creating questions
to use with their classes, and generally help them get ready to try the approach out when the
school year starts. During the first academic year, we meet once a week, after school, for an
hour and a half.
For the second and third academic years of the intervention (second year only at sites 3 and 4),
we meet after school every two to three weeks to provide sustained, ongoing support. Our
experience from previous projects is that it typically takes about three years for most teachers to
really internalize TEFA (Feldman & Capobianco, 2008).
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The three-year program starts intensively and with a strong facilitator-driven agenda. During
years two and three, our focus shifts to scaffolding, switching to a teacher-driven mode in order
to develop sustainable habits of ongoing professional growth. This is done by involving the
teachers in a form of collaborative action research known as enhanced normal practice
(Feldman, 1996; Feldman & Capobianco, 2000; Feldman & Minstrell, 2000).
We try to be self-consistent, using the TEFA methodology to teach TEFA. We do this because
we believe it works, and also so that teachers get to see the pedagogy modeled and experience
it as students.
The PD remains grounded in teachers real-world classroom experiences. At every meeting,
participants discuss their current problems, insights, observations, and ideas. This helps the
teachers connect the content of PD with their practice.
It also helps PD staff keep the program agile. Because every teachers outlook, context, and
learning trajectory are different, and because each school has its own characteristics, we keep
PD highly responsive to our participants evolving needs. W e solicit feedback through multiple
channels and make frequent adjustments.
In previous work (Feldman & Capobianco, 2008), we have identified five general skill areas
that a teacher must develop to master TEFA and be comfortable with it.
1
The general scope of
the PD program follows this framework.
The most obvious set of skills to master are related to the technology: those required to reliably
operate the CRS hardware and software, manage the logistics of the classroom, and deal
gracefully with any glitches that arise.
The second skill area addresses crafting questions for TEFA question cycles that reliably
produce good classroom interaction and achieve learning goals (Beatty, Gerace, Leonard &
Dufresne, 2006) — and doing it without consuming more preparation time than the teacher can
afford. Teachers quickly discover that typical quiz, homework, and end-of-chapter questions
rarely lead to satisfactory TEFA experiences.
The third skill area involves orchestrating the discourse of the classroom: encouraging
students participation, eliciting thoughtful and extended contributions, drawing out multiple
points of view, and gently steering discussion in order to achieve instructional goals.
The fourth skill area centers on understanding and reacting to students: probing their
knowledge and thinking through QDI questions and verbal interaction, interpreting their
responses and comments, building and refining mental models of the students, and making
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1
Most of our previously published work identifies four skill areas; weve since expanded that to five,
adding one we had neglected.
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sound and “agile” adjustments — often
in real-time — to the information
provided by formative assessment.
Formative assessment is only
“formative” if the information is actually
used to adjust teaching or learning
(Black, Harrison, Lee, Marshall, &
Wiliam, 2002).
The fifth skill area includes everything
necessary to integrate TEFA practice
with everything else in a teachers
context: their curriculum and syllabus,
other instructional activities, students
needs and capacities, impending
standardized exams, scheduled and
unscheduled disruptions, and
everything else that fills a teachers life. The “skills” learned to deal with these are idiosyncratic
to each school and teachers particular circumstances, which means theyre hard for us to
teach. Also, these kinds of problems dont tend to stay “solved”, since circumstances change.
c. the research design
The third ingredient of our project is the research design: the part that examines how teachers
are (hopefully) changing in response to the intervention.
We are using a longitudinal, staggered site, delayed intervention design (figure 2). For each
of our four sites, we start with one semester for collecting baseline data, followed by three years
of intervention and collection of longitudinal data. Each cohort begins one year after the
previous one, both to distribute our workload and to give us a chance to improve our
intervention, instrumentation, and methods as we go. (The final two cohorts, consisting of the
high school and middle schools from the same district, are running simultaneously.)
As this is written, we are approximately 1.5 semesters into the action research phase at site 1,
1.5 semesters into the intensive PD phase at site 2, and part-way through baseline data
collection at sites 3 and 4. In terms of analysis, weve recently collected enough longitudinal
data on the teachers at our first site to begin constructing and pondering reasonable case study
profiles and starting cross-case analysis. (Weve been making observations and kicking around
ideas all the time, of course, but now we can get more formal and serious about it.)
data sources
We are collecting data through multiple instruments and methods.
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Figure 2: Project timeline.
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PD meetings: We audio-record and transcribe all professional development meetings, and take
field notes as well.
journals: As part of PD, teachers are encouraged to write journal entries on their TEFA thinking
and learning. The frequency and quality of these varies drastically from teacher to teacher,
however: journaling is sufficiently time-intensive that we dont feel we can insist on it.
implementation log: Teachers complete a simple, 2-page paper log form every day, indicating
whether they used TEFA, how many questions they posed, how satisfied they were with the
outcome, what fraction of the class participated in discussions, what fraction of class time was
spent on TEFA, and whether any technical problems arose.
monthly survey: Once a month, teachers go online to complete a fairly extensive web-based
survey about their experiences with TEFA over the preceding month. It combines multiple
choice scales and short essay questions, and some of the questions require significant
reflection.
class video: Twice per semester, we videotape each teacher teaching an entire class,
scheduling — if possible — a day on which they use TEFA. The protocol includes short pre- and
post-class interviews to provide us with context and insight.
student survey: Once per semester, we administer a Likert scale, optically scanned survey to
every student in every class of each participating teacher. The survey has been designed to
solicit students perceptions of the class environment and the teachers expectations, so we can
see whether use of TEFA impacts the learning environment in a way students notice.
pedagogical perspectives survey & interview: Once a year, teachers take a Likert scale
survey on their general pedagogical views, and an accompanying intensive interview (two parts
of approximately 45 minutes each) on perspectives more directly related to TEFA.
biography: During the baseline phase, we elicit aspects of each teachers professional
preparation and background through a web-based survey.
miscellaneous: Finally, we do some more spontaneous interviews and focus-group discussions
on an as-needed, as-possible basis, in order to gain additional insight into teachers
experiences as they encounter and learn TEFA.
analysis
Analysis of all this data is what one might call “M
3
”: massively mixed methods. We are, quite
frankly, bringing several different approaches to bear in an exploratory way, looking for the most
productive.
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Weve been applying quantitative methods to data from the student survey , the monthly
reflection survey, and the daily implementation log. Were also quantifying aspects of teachers
TEFA practice, as captured in the classroom video, for quantitative analysis.
Weve been applying qualitative methods to transcripts of the various interviews, open-ended
responses to the monthly reflection survey, and select video segments. For this, weve been
exploring theory-driven coding based on our prior research and experiences with TEFA. Weve
also been exploring a more grounded theory approach, applying open coding, microanalysis,
and axial coding to the data.
Our collaborators at SRI International have recently begun discourse analysis of selected video
segments.
Integrating all analytic tactics, our general strategy is to start by constructing detailed, rich case
study profiles of each teachers starting point and evolution. W e want to understand their
individual learning trajectories in as much detail as possible. As those profiles develop, we do
cross-case analysis in an effort to identify general patterns and trends, distinct categories of
experience, and central themes.
research objectives
At this point, weve presented enough context that our official research objectives should make
some sense.
Our first and primary goal is to develop a better understanding of how teachers learn TEFA,
how they develop comfort with it, and how they adapt it to suit their needs. Although were
studying TEFA in particular, we believe TEFA is rich enough that much of what we learn will
generalize to other pedagogies and instructional technologies.
Our second goal, building on the first, is to improve our TEFA professional development: to
get better at helping teachers become happy and skilled with TEFA, faster and with less angst
on their part.
Our third goal looks toward the future. We see a need for a rigorous, controlled implementation
study of TEFAs measurable learning impacts on students and of the feasibility of large-scale
TEFA professional development. To conduct such a study, we need to develop knowledge and
scalable instrumentation that will allow efficient tracking of teachers learning progress and
implementation fidelity. Among other things, we need to know when in the course of a teachers
TEFA learning we should expect to see learning impacts.
part 2: stories
Each teachers experience of confronting TEFA and coming to terms with it is unique. Its a very
personal journey, a narrative. It is tempting, but dangerous, to boil all our research down to a
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few concise bullet-points of generalized findings. We believe this would lose the essence of the
teacher change process that we seek to illuminate. Therefore, we will tell four “stories” —
narratives of the TEFA learning process for four of our participating teachers. Afterward, we will
presenting some general findings, conclusions, and implications that cut across these cases as
well as the others we are studying.
Weve chosen this particular set of four four in order to illustrate four qualitatively dif ferent
learning trajectories, all different and all illuminating. Every teachers learning process is unique
in at least some aspects, so it is difficult to call these four “representative”. Nevertheless, they
do illustrate a reasonable portion of the range of variability we have encountered.
Tracy is a very experienced, confident high school chemistry teacher. She took to TEFA like a
duck to water. Even so, she did encounter tensions between TEFA and her teaching style.
Kim is an experienced high school math teacher, but new to this particular school. She
struggled with TEFA and has had persistent doubts about its worth, but has kept working at it
consistently, and has grown in the process.
Renee is a very experienced middle school science teacher whose personal style and outlook
seemed to clash strongly with TEFA. Nevertheless, through cautious consideration and
experimentation, she found creative ways to make it work for her.
Gina is a new middle school math teacher. She initially found TEFA to be thoroughly intimidating
and got nowhere at all with it, but then she dramatically changed her approach to the project
and took off — on her own terms.
a. Tracys story
“Tracy” is a high school chemistry teacher with over twenty years of experience. She is usually
confident, positive and enthusiastic. At the outset of the project, her typical style of instruction
was largely traditional and frontal. She expressed a strong need to be in control of classroom
events, and in fact referred to herself as a “control freak.” She struck us as an effective,
competent traditional teacher. Student surveys suggest that she is very popular with her
students. She has high expectations for her students, and wants them to be active and engaged
learners.
Tracy started the project strongly enthusiastic about TEFA. Once the intervention began, she
took to TEFA very naturally, and quickly demonstrated what we would judge to be high
implementation fidelity. Nevertheless, she encountered several tensions between her perception
of TEFA and her style, perspectives, and values. We can identify six specific tensions:
1. TEFA encourages teachers to help students develop a deep understanding of concepts, but
Tracy was more concerned with covering curriculum at a sufficient pace.
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2. Good TEFA questions require time to craft, but — like most teachers — Tracys prep time
was limited.
3. TEFA seeks to foster student-driven dialogue, but Tracys desire for control of the classroom
led her to strongly mediate all classroom talk, with students interacting serially with her rather
than with each other.
4. The typical TEFA question cycle respects the anonymity of students answers to CRS
questions, and relies on volunteerism in discussion participation, but Tracys insistence that
all students be engaged and participating caused her to frequently call on students by name
to speak in discussions.
5. TEFA encourages teachers to be noncommittal in response to students answers and let
students struggle (up to a point) to figure things out for themselves, but Tracy was inclined to
tell students the correct answer if she felt that they were taking too long to respond.
6. The final phase of the TEFA question cycle is for “closure,” in which the teacher summarizes
or otherwise helps students know what the point of the cycle was and what they should carry
away from it, but Tracy had a self-identified weakness of not summarizing in general, and
usually omitted this phase, leaving students unsure of what they were supposed to be
learning.
Despite these tensions, Tracys initial alignment with TEFA was good, and she struggled less
with it than other teachers at that project site. She hit her stride quickly, and gradually made
several adjustments to her practice that reduced these tensions.
One innovation Tracy introduced to TEFA was her practice of scribing: writing the key ideas
from students statements on her white-board, in order to keep track of the various ways of
thinking raised and facilitate uptake of those ideas into later discussion. This practice had not
been modeled in PD. Although it tends to keep students attention focused on the teachers as
the controller of dialogue, the practice seems to promote dialogicity in the discourse.
The initial tension between Tracys desire to keep a rigorous pace in covering curriculum topics
and TEFAs focus on spending time to thoroughly explore and solidify student understanding of
central ideas was gradually mitigated as her views on the efficient use of classroom time
changed. By the end of the first intervention year, she conceded that it was acceptable to
budget more time for TEFA, claiming that developing students reasoning skills was more
important than covering content.
Similarly, Tracys concern over taking time to prepare good TEFA questions subsided as she
became more efficient at it, and also recognized how valuable the effort was. She was
innovative in her question designs, developing styles more complex than those modeled in PD.
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Tracy felt that one new type of question was effective in eliciting students thinking and in her
words, effective at “generating challenge to what kids understand.”
Throughout the first year and into the second, Tracy was concerned about student
participation: some students would not speak up in class discussion unless directly called
upon. Later in the second year, however, she expressed satisfaction at their degree of voluntary
participation and at the depth of their responses.
Tracy has wrestled with the challenge of loosening control of classroom activity and
discussion, but she has tried different tactics for relinquishing at least some control without
consequences that she considers unacceptable. As a result, we have seen a considerable
increase in the frequency of student-to-student exchanges during whole-class discussion.
During the first year, Tracy made an effort to break her habit of quickly telling students the
answer, and by the spring she admitted to us that she now liked not revealing answers, instead
focusing on eliciting students thinking. However , this change has resulted in a new tension
between this practice and her students desire to be told the answer .
Tracys pre-existing, self-identified “weakness” of failing to summarize lessons for students was
exacerbated by her initial extreme interpretation of our PD assertion that it is frequently useful to
refuse to tell students the “right” answer to a question at all, instead letting the discussion of
ideas speak for itself. In one videotaped class, she told her students that doing TEFA meant not
being “allowed” to tell them the answer. Eventually, this misunderstanding was clarified, and
Tracy made an effort to provide explicit closure at the end of each question cycle. Typically,
she would tell students “how I would answer the question” to end the discussion.
Overall, as Tracy both adjusted her ways of implementing TEFA and evolved in her pedagogical
views, most of the initial tensions she experienced were resolved and she became quite
comfortable with the overall approach. During the second implementation year, she chose to
focus her action research investigations on ways that she can use TEFA to motivate more
students to do their homework and engage in non-TEFA aspects of the course. To us, this
signifies that TEFA is no longer an “issue” for her or something that she wrestles with, but rather
a trusted tool that she can use to address other challenges.
b. Kims story
“Kim” is a high school math teacher with seven years of experience before joining the project.
However, she was new to this school and to the curriculum being used; the TEFA intervention
began in her first semester with each. Not surprisingly, she was concerned about being
successful, and being perceived as successful, in preparing her students for subsequent
courses. She was interested in TEFA, but she had doubts and uncertainties about whether it
would work in her class.
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Our early installation of the classroom response system software at that school used a pre-
release “beta” version, which had several bugs. This led to an early tension for Kim, as bugs
and her own unfamiliarity with the software led to unexpected technology glitches that
flustered her, thwarted her desire to conduct class smoothly and competently, and wasted
precious class time. Within a month, however, the bugs were fixed, she had developed comfort
with the software, and technology glitches were no longer an issue.
Another tension she wrestled with was a conflict between her students behavior at this new
school and her standards for how students should act. She found this new school to be far more
relaxed about discipline than her previous one, and she was unhappy that when the bell rang to
start a new period, students were still talking in the hallways rather than sitting in their seats.
She disliked spending time settling students down at the beginning of every class.
This tension was not introduced by TEFA, but by her new situation. However, she figured out a
way to use TEFA to address it: starting in November, she developed a pattern of beginning each
class by posing a TEFA question, since she knew that students enjoyed these and wouldnt
want to miss them. She discovered that she could use TEFA as a classroom management
tool.
A third tension that Kim faced was between her doubt and uncertainty about TEFAs worth and
her desire to be successful as a teacher. Since she wanted to try TEFA in her class but also
wanted to be as successful as she had been in her previous school, she implemented the TEFA
pedagogy in a safe, limited, conservative way. During the first semester, her questions tended to
be simple and straightforward — what we call the “you know it or you dont” type. Unfortunately ,
such questions rarely lead to successful discussion.
Despite her caution, she had a traumatic experience. One student asked her to define the
word “term” (of a mathematical expression), as used in a TEFA question, and she realized she
didnt know how to define it. She had always assumed that the meaning was obvious to
students. She struggled unsuccessfully to define it in class, and eventually gave up. In her
journal, she described the experience as “panic, fear, frustration, anger, and embarrassment,”
and seems to have considered it a very negative event. From our perspective, however, it was a
valuable learning experience for her, sensitizing her to the inherent ambiguities in even “clear”
questions, the challenges of communicating reliably with students, the value of formative
assessment to discover unexpected learning obstacles students face, and the challenge and
importance of instructional agility.
As time went on and she had some rewarding experiences with TEFA, her doubts eased. Near
the end of the first semester, she said that she “realized that trying it was fine; if it didnt work,
ok, and if it did work I was ahead of where I had been.” Also, she started to recognize the
connection between the nature of the questions she posed and the quality of the resulting
discussion.
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At the start of the second semester, Kim had an eye-opening experience while teaching with a
question that she had developed in PD. She wrote in her journal that “The result was amazing.
Students boldly shared opinions and gave sound reasoning and examples to support their
ideas… For the first time ever I experienced with my students what I would consider to be the
beauty of using TEFA/PRS. It really worked!” This proved conclusively to her that TEFA could
generate strong student discussion and change the class atmosphere, and that she, personally,
could be successful with TEFA. It also cemented her belief that the key to generating good
discussion was developing good questions.
During this second semester, we see evidence that her overall view of teaching evolved,
becoming more “student-centered.” In our baseline interview, she said that her responsibility
as a math teacher was “to convey information in such a way that it is easy to learn by as many
students as possible.” But one year later, she said, “I realize that I was planning it from the
standpoint of what I need instead of what the students need.” She also changed the way she
approached lesson planning. She said, “TEFA makes me think about the big picture, especially
when I'm introducing a topic. It makes me come up with a stimulating question… that provides
that connection…”
Although some of her tensions with TEFA had been resolved, she still struggled with others. For
one thing, she was now very concerned with creating “effective” questions that would enhance
class discussion, but found that this required more prep time than she could easily afford to
spend. For another, she found that good classroom discussion took considerable class time,
and was concerned about how that might affect her ability to cover content at a sufficient pace.
These concerns continued into the second intervention year as Kim persisted with TEFA.
Another concern that grew in her mind was dissatisfaction with poor student participation in
whole-class discussion, and concern whether TEFA was of much benefit to them. In particular,
she noticed that boys were more likely than girls to speak up. So, she created and administered
a survey for her students, inquiring about their perceptions of how valuable different kinds of
learning activities — including whole-class discussion, small-group discussion, homework,
reading, and the like — were. She reported that “their perception is that whole class discussion
is not as helpful a way to learn as small group work…” Interestingly, she found that boys were
more likely than girls to value whole-class discussion, whereas girls preferred small-group
problem-solving.
As a result, she adjusted her use of TEFA, placing more emphasis on small group discussion
and using whole-class discussion primarily to have students “report out” the results of their
small-group work.
As of the second semester of the second intervention year, Kim is still struggling with the
pressure TEFA exerts on both her preparation time and class time. She tells us quite frankly that
using TEFA is valuable, but shes not sure its worth the time required to create good questions
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week after week. Nevertheless, we see that her perspectives and practices have changed
significantly over the past year and a half. She has become more student-centered, focusing on
students thinking and needs and modifying her lessons and teaching practice based on what
she learns from her students responses. In other words, formative assessment has become an
integral part of her teaching, and seems likely to remain so whether she uses TEFA itself or
not.
c. Renees story
“Renee” is a middle-school science teacher who, like Tracy, has over twenty years of
experience. She displays confidence in her teaching abilities. She is respectful of her students,
and firm and clear about her expectations. Her interactions with students are concise and
highly structured. She expresses and manifests a strong concern with shaping students social
skills.
At the outset of the project, Renee seemed curious and optimistic about TEFA. However, she
seemed to find our initial professional development workshop unpleasant, exhibiting severe
reluctance to either be videotaped (we taped the entire workshop, for our own records), or to
practice-teach a mock TEFA lesson with her peers in the role of students. As far as we can tell,
she simply hates to be “on the stage” or the object of attention. This is consistent with her
teaching style, which relies on student seat-work and almost never involves frontal instruction.
Renee acquiesced to our normal videotaping schedule of four classes during the year, but she
did not use TEFA during a taping for the first two visits, despite our attempts to schedule taping
to coincide with TEFA. Her logs and journal indicate that she was using TEFA when we werent
present. In fact, she documented her TEFA usage in meticulous detail, including highly
reflective comments on both the successes and the failures. However, she rarely spoke during
PD meetings.
Renee also struggled with a tension between what she believed her students capable of, and
what she thought TEFA expected of them. She considered her students to be “concrete
thinkers” unable to handle the abstract reasoning and argumentation she had seen modeled in
PD meetings. She noted early that her students attention span was short and their focus poor ,
so that they had trouble staying engaged in lengthy TEFA discussions.
Her solution was to restrict TEFA usage to one or two days a week, for a maximum of fifteen
minutes at a time, and to keep her questions relatively simple. This introduced a new tension
between what she was doing and what she thought PD staff wanted and would consider
“acceptable,” but she was willing to live with that.
Another tension Renee encountered was between the format of our PD program and her needs.
In her monthly surveys, she regularly complained that she expected more time to create TEFA
questions and discuss them with peers. This tension was never resolved to her satisfaction,
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partially because we were backlogged with data and did not see these complaints in time to
address them.
This state of affairs lasted for several months, through the fall semester of the first intervention
year and into the spring. During that period, she gradually expanded her repertoire of uses for
TEFA. Each month she would introduce one or two new styles of question or ways of using
TEFA, often inspired by examples and ideas from the PD program. She generally reported
success and satisfaction with the outcome, but remained cautious and reserved in her embrace
of TEFA. During the third quarter of the year, she finally allowed us to videotape her doing a
question cycle with the CRS.
During the spring, Renee was concerned about her students decreasing participation in TEFA
discussions. About half-way through the term, she engaged her classes in a frank, meta-level
conversation about the problem. They told her theyd prefer not to see the histogram of
responses until after theyd discussed a question. In response, she modified her
implementation of the question cycle: shed pose a question and collect answers, but not show
the histogram. Instead, shed let students discuss the question as a whole class. Then, shed
collect a second round of answers, present both histograms, and let students discuss how and
why their answers had changed between the rounds of polling. This pattern seemed to be more
comfortable for students, and Renee reported that participation levels rose dramatically.
Shortly thereafter, Renee tried an innovative solution to the tension she had experienced
between her dislike of frontal instructional modes and the canonical TEFA pattern of having the
teacher moderate whole-class discussion. She formulated an explicit set of rules for whole-class
discussion, and presented them to her students. Then, during the whole-class discussion phase
of the TEFA question cycle, she would physically and verbally remove herself from the group
and allow the students to self-moderate, responding entirely to each other and setting their own
direction. The experiment was successful enough on the first try that she allowed us to record
the second on our fourth and final videotaping visit of the year.
Unfortunately, a new technical problem prevented her from using her CRS for the last month
of the year. Without warning, her classroom computer was replaced with a new and more
powerful one, but without the CRS software installed. Because our PD and data collection
schedules for the term were over by this time, we did not find out about the problem until much
later. Her final monthly survey expressed irritation that she wanted to use her CRS and could
not.
Overall, Renee manifested a remarkable transformation over the first year. She began as a
teacher doubtful about TEFAs suitability for her students, very conservative in her use of it, and
deeply uncomfortable with core portions of the pedagogy. By the end of the year, she had
developed a wide range of TEFA uses and question styles, found ways to elicit quality student
participation, and reconciled her enactment of TEFA with her values and views. She came to
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value the formative assessment information TEFA provides, and added a new mode of
classroom interaction — the self-moderating whole-class student discussion — to her repertoire.
Unfortunately, two major tensions remained unresolved. One was the conflict between her deep
dislike of being scrutinized and the projects need to conduct research on her learning process.
The other was her continuing feeling that PD was not meeting her needs. She found a way to
rectify those, too: before the second intervention year began, she sent us a terse email stating
that she was exercising her right to drop out of the project, that she would like to keep her CRS
if we would allow, and that she did not want us to contact her for the rest of the summer. She
has not responded to email from us since then.
So, as far as we know, Renee may still be practicing some form of TEFA, but she has dropped
completely off our radar.
d. Ginas story
Gina teaches middle-school mathematics. When we began our intervention, she was starting
her second year as a teacher, and her first year with a new curriculum. Her incoming class of
eighth graders was rumored to be unusually difficult. As if all that wasnt challenge enough, she
was dealing with some complex and emotionally draining personal issues that would demand a
lot of her attention and energy for the next year or more.
At the beginning of the school year, after the summer workshop, Gina was generally optimistic
about TEFA. She was a little concerned about how well it would work with her particular
students, and about her ability to operate the technology. Nevertheless, she had high hopes for
diving head-first into TEFA and mastering it.
Like most participants, she quickly got the hang of using the technologys essential features,
and initial tech glitches were resolved within a month. However, she discovered very quickly that
TEFA is far harder to learn and execute than shed imagined.
For the rest of the fall semester, she struggled with two general tensions between her picture of
TEFA and her assessment of the reality of her classroom. One had to do with how well TEFA
“fit” her students. As she saw it, TEFA expects students to engage each other and the teacher in
rich, thoughtful, extended discussion and argument about abstract ideas. However, she saw her
students as “concrete thinkers” with limited ability to reason abstractly, poor social skills, and
little willingness to engage thoughtfully in discussion. This led her to struggle to find questions
that were accessible to her students, and yet in the spirit of TEFA. She spent many hours vainly
searching the web for question ideas. It also led her to struggle with managing behavior and
eliciting participation.
These struggles were exacerbated by a second tension, having to do with expectations. She
formed an extreme view of what successful TEFA should look like. For example, PD staff had
argued that ambiguous questions, and questions with more than one defensible answer, are
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pedagogically efficacious. She interpreted this to mean that TEFA questions should never have
one unambiguously right answer. Similarly, she believed that all questions must be deeply
conceptual, and all questions must provoke rich and extensive discussion among students. It
seems that in our attempts to paint a vision of TEFA that contrasted with traditional instruction
and showed what was possible and worth aspiring to, we had accidentally created a
forbiddingly high bar for Gina.
Thus, Gina struggled greatly trying to find or create questions that would meet this self-imposed
standard. Week after week, we would present new question styles in PD and assign
“homework” asking teachers to create their own questions of that type and try them out in class.
And week after week, Gina would find herself unable to do that in a way that she could see
working with her students. Not surprisingly, she became quite frustrated, and her self-
confidence as a new teacher took a severe hit.
Over the December holidays and January, no project PD occurred for nearly two months. During
this time, Gina recognized that her own fears about using PRS “well enough” were a barrier to
her. She realized that if TEFA was going to work for her, she would have to do it for herself and
her students, not for us. For the rest of the spring semester, Gina adopted a new attitude and
resolutely ignored all professional development requests to do or try specific things with TEFA,
even though she feared this might harm her grade when she got graduate course credit for the
program. Instead, she explored different ways of using TEFA, guided by her own ideas and
discussion with peers instead of professional development. And she started thinking of PRS
more as a tool she could use for her own ends, and less as a “way” that she had to follow.
One of the things she found was a “niche” for TEFA: a way of using it that seemed manageable,
reliable, and productive for her, even though it was a pale shadow of the TEFA shed seen
presented and modeled by project staff. For her, TEFA became a way to have students review
questions for the upcoming state-wide math exam, and to find out more about what topics on
that exam they needed help with. She largely ignored the “dialogical discourse” and “question-
driven instruction” aspects of TEFA, instead focusing on a relatively patterned, but useful,
formative assessment role.
She also experimented, cautiously and modestly, using TEFA in different roles. She had some
success experiences that motivated her to keep going. Over the spring semester, her
confidence rebounded, and the degree of stress she felt regarding TEFA was drastically
reduced. She still perceived a tension between TEFA as it was portrayed in PD meetings and
TEFA as she was practicing it, but she was willing to live with that.
Another tension that persisted was between her students ability to behave responsibly in small-
group work and Ginas desire to have more small-group experiences for them, both with and
without TEFA. She persevered and had some limited successes with this. She also noticed that
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some classes were much better at small-group work than others, which reassured her that the
source of the problem was with the students, not with her competence.
After the summer break, Gina confidently fell into a pattern of using TEFA every day to review
for the state-wide exam. For the entire fall semester, however an intermittent and unpredictable
technical problem with the school network prevented her from using her computer, and thus
her CRS, perhaps one day a week or more. She found this very distressing. Interestingly, one
year ago she had struggled to make herself use TEFA at all; now she felt hamstrung if she
couldnt start every class with it.
Gina also continued experimenting with TEFA in different roles, gradually expanding her
repertoire of ways she felt comfortable using it. She started spontaneously inserting “on-the-fly”
questions, in order to gauge student understanding of something that had just occurred. She
started adjusting instruction in real-time based on student responses. She linked TEFA to
hands-on activities, using pairs of questions around an activity to first motivate it and then later
assess and solidify learning from it. She made status-check questions a regular part of her
TEFA pattern, asking students how confident they felt about a topic. She even began sprinkling
in questions designed to foment discussion or provoke wrestling with challenging ideas —
exactly the use of TEFA that had so intimidated her a year ago.
In other words, she couldnt handle TEFA as the whole big intimidating entity she initially
perceived it as. But by rejecting everything except a narrow and limited aspect, developing
confidence and skill with that, and then gradually extending at her own pace, she has ended up
making a relatively rich and varied implementation of TEFA an essential part of her instruction.
And in the process, she seems to have raised her perceptions about what students are capable
of handling, sharpened her appreciation of formative assessment, developed her ability to make
agile adjustments in class, and become much more at home as a teacher.
part 3: findings
a. some observations
It is clear to us from the preceding four stories and from the remainder of our data that TEFA is
hard, change is hard, TEFA can be intimidating, and that teachers need to develop a range of
new skills to succeed with it. It is also clear that teachers can change and learn TEFA, and
they can make significant progress in this over course of one year of professional development.
In the lessons that we videotaped and analyzed from our first school, we have seen several
changes exhibited by most teachers:

the time spent in discussion during the question cycle increased;

the frequency of student-student interactions during discussions increased;
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•teachers use of IRE types of interactions decreased, especially in the earlier parts of
question cycles;

teachers increased the variety of discussion formats that they used as part of the question
cycle.
Furthermore, several teachers reported that the use of a CRS and TEFA helped them gain
more information about how their students were thinking about concepts. And they reported
(verified by videotape data and pre/post-taping interviews) instances where they changed their
lessons as a result of the formative information that they gained about students thinking.
The stories above depicted each teachers coming to terms with TEFA as a path or “trajectory”
he or she follows. One aspect of this trajectory is the skills learned and knowledge gained at
each point in time. Individual teachers learning trajectories are personal and idiosyncratic, but
trajectories seem to share certain general features.
Earlier, we indicated that the skills necessary to master TEFA can be grouped into five general
skill areas: using the technology, creating questions, orchestrating classroom discourse,
understanding and adjusting to students, and integrating TEFA with all other constraints and
context. It seems that teachers typically encounter and wrestle with the first three skill areas in
that order. Operating the technology and dealing with glitches looms large to them at first, but
most become comfortable with that within a month. Then, they realize that designing effective
questions is more challenging than it at first appears, and spend much of the first year (or more)
focused on this. Slightly later — usually before question design has been “mastered,” but after
some degree of comfort has been reached — teachers become concerned with the dynamics of
their classroom discussion, and reconsider their role and practices in that.
The fourth skill area, which we colloquially refer to as “getting inside students heads, and then
knowing what to do about it,” seems to stay implicit for the first year or more of TEFA learning. It
is a factor, but not one that most teachers explicitly focus on. However, we have known at least
one extremely proficient, experienced TEFA practitioner who claims that if he focuses on
understanding what his students are thinking, everything else falls into place.
The fifth skill area, integrating TEFA with “everything else,” is more idiosyncratic. Teachers
contexts (and their perceptions of those contexts) vary drastically, so both the degree and the
nature of the challenge this skill area poses to them varies equally drastically. And, because
context tends to change, this area must frequently be revisited. In general, this seems to be a
skill area teachers worry about intermittently, and more strongly at the beginning of each
academic term.
Our four stories ended with the teachers in very different places on their trajectories. Tracy has
become an expert user of TEFA, and we believe that she has incorporated it deeply into her
way of being a teacher. Kim has steadily increased her proficiency in TEFA, and her conception
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of TEFA pedagogy has become increasingly similar to ours, but it is still a struggle and she has
doubts about whether it is worth the time it requires. Gina has transformed TEFA into pedagogy
that she is comfortable with and is using it extensively in her classes, in an increasing variety of
roles. Finally, we saw that Renee has developed an understanding of TEFA consonant with
ours, has had success using it in her classes in a careful and limited way, but has disassociated
herself from the research project. One of the dominant findings of our study is that “all teachers
are individuals,” and the TEFA learning trajectory is idiosyncratic.
The TEFA learning trajectory is also bumpy. What we mean by this is that the changes in the
teachers and in their pedagogy does not happen smoothly, as a continual and gradual
progression. Rather, their conception of TEFA, their ways of using it, and their facility with it can
vary considerably and shift suddenly as they wrestle with tensions and dissonances, experience
seminal events, have insights, and get input from their peers and from the PD program.
Another phenomenon we have observed is that teachers need to find an entry point for TEFA:
a way of using it and a niche for it within their practice that is within their “zone of proximal
development” (ZPD, Vygotsky, 1978). That is, they must be able to envision a way of using
TEFA that they believe is within their ability, is within their students capacities, suits their subject
matter and level, integrates with their overall teaching patterns, and will produce worthwhile
results. Tracy found an easy entry point using TEFA for whole-class discussions about key
chemistry concepts; Kim eventually developed one using TEFA to introduce new topics at the
start of a class period; Gina struggled, feeling that TEFA was completely beyond her ZPD, but
ultimately discovered one using TEFA for standardized exam preparation; and Renee had
various success experiences, but did not seem to find a comfortable entry point or niche for
TEFA within the year we studied her.
We have found that helping teachers learn TEFA gets more challenging as teachers get farther
from the PD staffs own background , which is university-level physics instruction. We have
more trouble communicating productively with middle school teachers than with high school
teachers, and more trouble with mathematics or biological science teachers than with physical
science teachers. The result is that many of these groups feel more “left on their own” to figure
out TEFA and create effective questions. Differences in language are one source of difficulty:
physicists talk about “problem solving” where biologists might talk about “model-based
reasoning,” and math teachers talk about “problem solving” but typically mean something more
procedural and less conceptual. Differences between our pedagogical content knowledge (PCK,
van Driel, Verloop & de Vos, 1998) and theirs is another source of difficulty: we are better at
generating compelling examples of CRS questions or responses to student questions in
subjects we have taught ourselves.
b. co-evolution model
Looking more closely at stories of teacher change from the project, we have realized that a
useful way to see and describe the process is in terms of:
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•the alignment or misalignment (perceived as tensions) between a teachers skills, views,
and context, on the one hand, and her conceptualization of TEFA and attempts to enact it on
the other;

the conflicts, struggles, and rewards she experiences as a result of these alignments and
misalignments;

the changes to her conceptualization of TEFA and to her ways of attempting TEFA that
occur in response to these conflicts, struggles, and rewards; and

the changes to her skills, perspectives, and general “way of being a teacher” that also
occur in response to the conflicts, struggles, and rewards.
This has led us to formulate our “model for the co-evolution of teacher and pedagogy” (figure 3).
This model is the result of some very recent thinking on our part, and should be considered a
work in progress.
TEFA, represented at the far top left of the figure, is the pedagogy that we hope the teachers will
become skilled at and internalize, recognizing that exactly how they practice it will vary
depending on who they are and how they perceive their context.
TEFA as represented in PD is not identical to TEFA itself; consciously and unconsciously, we
stress some aspects, omit others, and communicate it in specific ways in response to the details
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Figure 3: Graphical representation of a model for the co-evolution of teacher and pedagogy.
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of the PD situation and our assessments of the teachers and their needs. This representation of
TEFA evolves over time as the PD program continues and we “adjust the message” in response
to our observations of the teachers.
The understanding each teacher forms of TEFA is not identical to the TEFA we attempt to
present, either, since all they experience will be filtered through the lens of their own
preconceptions, sensitivities, and needs. Furthermore, the TEFA they aim to implement will be
yet different, as they choose some portions, discard others, and generally adapt this
interpretation of a representation of TEFA to fit their needs.
What the teacher brings to this — to the version of TEFA they aspire to implement — is
everything that makes them who they are as a teacher: their values, beliefs, perceptions, and
skills. In every case we have seen, this “who they are as a teacher” has some points of
misalignment, some tensions, with TEFA as they understand it and aspire to practice it.
Tensions result in conflicts and struggles that the teacher experiences in their practice of
TEFA. We see these conflicts and struggles as the “driving engine” of teacher change: in
attempting to resolve them, the teacher is motivated to either evolve their understanding of
TEFA, adjust their ways of implementing TEFA, or grow in their views and skills.
Points of good alignment between teacher and TEFA — the opposite of “tensions” — can
produce rewarding experiences, often unanticipated. These can also drive change as the
teacher seeks to capture or maximize them, and they can confirm the teacher and provide
motivation to continue with the struggle.
Thus, the model represents teacher change as a series of transitions or “change process”
steps between states. The transitions are depicted as discrete and sequential, but they need not
be; we have seen both gradual evolution (as in Tracys case) and sudden change (as in Ginas).
Ongoing professional development serves to help mediate these transitions, both by provoking
additional tensions (for example, by “raising the bar” in terms of what quality TEFA
implementation ought to aspire to), and by suggesting resolutions (for example, by teaching
specific skills or suggesting alternative perspectives).
To us, a dominant and very significant feature of the model is that it can be viewed as an
evolving dialectic between three “narratives.” One, which is indicated only very generally and
vaguely in figure 3, is our narrative as professional development staff: the evolution in our
understanding of our participating teachers, the development of our PD skills and tools, and the
“story” we present in PD. We intend to examine this narrative further and building a more
detailed model of it in subsequent project work.
The other two narratives are internal to the teacher. One, which we have labeled “teacher
change,” is the story of the teachers growth as a practitioner: acquisition of new skills,
development of new perspectives, realization of new or newly emphasized values, and the like.
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This is the narrative we had been focused on when we began the project; we thought of
professional development as helping teachers to develop skills and change views.
The second internal narrative, which we have labeled “pedagogical transformation,” is new to
our thinking. Although we acknowledged that every teacher would implement TEFA slightly
differently, we desired to minimize the differences and aspired to good “implementation fidelity.”
Quite frankly, it was rather horrifying for us, TEFAs developers, to watch teachers such as Gina
and Renee take a machete to TEFA, hacking off parts we saw as essential in order to come to
terms with it — or, rather, in order make TEFA come to terms with them. But we have come to
see such customization and personalization of TEFA as essential to the teacher learning
process.
Thus, one can view the model vertically (in the figure), as a progression of states and
transitions, where states are defined by tensions and their consequent conflicts and struggles,
and transitions are defined by changes to the teacher and her enactment of TEFA. Or, one can
view it horizontally, as two ongoing narratives, one describing change in the teacher and one
describing change in her understanding and enactment of the pedagogy; the narratives are
connected dialectically by the tensions and dissonances between them at any point in time.
c. implications
Appreciating the significance of the “pedagogical transformation” narrative to the teacher
change process has produced a shift in our thinking that goes much deeper than simply
admitting that teachers will adapt our pedagogy, and accepting it as a necessary evil of
professional development. We realized that we had implicitly been trying to recast our
participating teachers in our own image, and make them our proxies in the classroom, teaching
the way we would. Recognizing the necessity of the pedagogical transformation narrative in our
model of the teacher change process, we are coming to think of our goal more as to help each
teacher blossom in his or her own way, by providing a rich and powerful pedagogy that they can
and should adapt to their own strengths, needs, and outlook. Language along these lines was
always in our talk, but now we realize its implications much more deeply.
(In retrospect, this should have been obvious. Even those of us closely involved in developing,
refining, and articulating TEFA do not implement it identically.)
This new perspective also challenges the utility of the “implementation fidelity” concept. Against
what should a teachers TEFA implementation be compared, if the goal is not to have all
teachers approach some hypothetical ideal implementation? A canonical reference
implementation may be necessary for a study that seeks to establish the student learning
impacts of TEFA, but measurements of fidelity must be suitably lenient in non-essentials.
We end with some other implications for in-service teacher professional development that
arise from our co-evolution model or from our general findings and experiences to date.
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•For PD to succeed, it must be sustained over time as teachers follow an extended process
of personal change and pedagogical transformation.

PD should be structured so that teachers have multiple entry points into the new practices,
so that what they are exhorted to try does not exceed their ZPD.

Given the impact of critical events in teachers adoption of new practices, PD should help
teachers recognize seminal experiences for what they are, and to help them use evidence
about those events as a way to see that their new pedagogy is “sensible, beneficial, and
enlightening” (Feldman, 2000).

While PD should be sustained, breaks from PD (e.g., school holidays or summer vacation)
can help teachers reassess their practice and reflect on the implications of what they have
been learning.

PD staff should monitor the tensions and dissonances that the teachers experience and
provide strategies for eliminating or mitigating them, so that resulting conflicts and struggles
do not seem insurmountable. Similarly, staff can help teachers recognize the rewards of new
practices.

Developing high-quality curriculum (CRS questions) for TEFA has been a major difficulty and
source of stress for teachers. If possible, PD should provide at least a minimal core of
curriculum materials suitable for each teachers subject and level, so teachers can become
familiar with the approach without the burden of curriculum design. At the very least, a wide
range of exemplary materials are necessary, varied in subject, level, style, and goals.

A PD program must strike a careful balance between careful design to address all requisite
skill areas in an effective learning sequence, and attentive responsiveness to teachers
idiosyncratic and changing needs.

Finally, the staff of a PD program should recognize the difficulty of communicating across
disciplinary and teaching-level boundaries, and seek collaborators or other resources to help
bridge gaps.
d. the future
At present, we are slightly more than half-way through the three-year intervention at our first
site, still in the intensive first intervention year at our second site, and still collecting baseline
data at our third and fourth sites. This means all findings herein should be considered
preliminary.
In the future, we will be collecting data to substantiate these findings. We will also be modifying
our PD design for sites 3 and 4, in order to take advantage of and test our co-evolution model of
teacher change. With additional case study analysis, we hope to develop a more
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comprehensive description of teachers TEFA learning pathways and stages, perhaps identifying
distinct categories of teacher, common entry points, typical stumbling blocks, and the like.
Further on in the project, we will turn to the development of more scalable PD and more
scalable research instrumentation, as we look towards a controlled study of student learning
impacts due to TEFA.
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