Change
in mathematics instruction on rate of change or slope
before and after professional development on content and rich task
creation.
Research Question:
What
is the level of teacher knowledge on various
representations of slope?(Content
Assessment)Before and after immersion
in content over summer professional development.
What
are the characteristics of a lesson or unit of study
where slope or rate of change is included as perceived by teachers
prior to
professional development?(Each
teacher
will bring a copy of a lesson or unit that includes rate of
change/slope;
Interview)
What
are the characteristics of a lesson or unit of study
where slope or rate of change is included as perceived by teachers
after
initial professional development is completed?(Teacher’s will develop a unit of study where rate
of change/slope is
included; Interview after initial professional development and after
facilitation of the unit.)
What
are teacher’s views on rich task creation of lesson(s)
on rate of change/slope?
Summer/Fall
2010
Completed the study and per the survey results did not find the growth
that was evident during observations. I contribute this to the
awareness the teachers in our school districts exposure to the Rule of
5, the 5Es, cognitive demand, and the creation of rich tasks and units
of study around bigger topics vs chapters. Teacher beliefs did
affect the implementation of lessons with some truly believing that
they were encouraging student engagement and developing or discovering
concepts by giving students a worksheet to fill out. The concepts
had already been topics, vocabulary identified, and students now had to
apply that to various graphs. I also saw where some teachers dove
into the ideas and forgot the balance between conceptual understanding
and skill proficiency. I felt that was where I, as the district
coordinator, had to step in and pull them back a little by asking
thought provoking questions.
The study was written up and submitted to the American Secondary Education
Journal.
Title: Beliefs
and the Implementation of the Function Approach
Pilot Study: Teacher Beliefs and Their Effects on Student Achievement
in Secondary Mathematics A mixed methods approach
will be used to study teacher beliefs before
and after professional development that focuses on the function
approach to teaching and learning algebra. There will be two
formats for the professional development. One will be based on
the MSP grant through UVA and will consist of 4 days in the summer and
a monthly followup. Teachers will be expected to practice what
they learn and to reflect on their actions along with their
students. The second format is through our county school system
and will consist of 2 days in the summer and a quarterly
followup. The focus for the sessions will be the same however the
UVA sessions will have more time on task. Four teachers,
preferably from the UVA sessions and from Spotsylvania County, will be
requested to be observed while teaching a unit of study. Student data to be
gathered will include Math 8 SOL scores,and Math 8 end-of-course grade
for those in Algebra I. Teacher beliefs will be also
analyzed to determine any changes using a belief survey
instrument. Observations and interviews will be conducted
with the four teachers who will be teachers of Algebra I. I will
attempt to have two of the teachers be participants in the study and
two who have not participated. Depending on the teachers who
agree to participate in the observations and interview portion will
determine if the teachers will be full year Algebra I teachers who have
their students every other day or teachers who are instructors of the
Algebra I Double Block course where they see their students
daily. These two courses differ in the level of
students. Full year Algebra I students have typically passed the
Math 8 SOL and the Math 8 course. The students in double block
did not pass one or both of the assessments.
Some of my research questions for the study, at this time are: Does the
function
approach to teaching effect student achievement?
Quantitative (data) Is there a difference in
growth for students in full year Algebra I and
those in Algebra I double block? Quantitative (data)
Is there a difference in growth of students who have teachers in the
professional development and those who are not participating? Does engagement
in a
professional development effect teacher beliefs
with instruction? Quantitative (survey), Qualititative
(observations and interview)
How does the teacher perceive student engagement and achievement for
those involved in the professional development.
Documents submitted
to HSRB.
We have teachers in our school district at all levels of growth from
very traditional to trying to facilitate the function approach
(standards-based) in our Algebra I and Algebra II courses. During
the professional development I had teachers say that they are sold on
the methodology but numerous emotions are present along with HOW do
they implement the progression of learning. To date I have seen
more teachers interested and truly involved in the professional
learning experiences, asking questions, and even requesting that I
collaborate and observe them. This will be an interesting school
year.
The
pilot study on teacher beliefs and the implementation of the function
approach for algebra courses was written up and submitted to the American Secondary Education
Journal in early September. Notice stated that it would be about
six months before I heard anything.
Title: Beliefs
and the Implementation of the Function Approach