THE
FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES
FIELDS
MATHED FORUM MEETING AGENDA
Theme:
Research Day
January
30 , 2016 at 10 am-2 pm
Fields
Institute, 222 College Street, Toronto
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Light refreshments will be available starting at 9:30 a.m. and
lunch will be served at a convenient time during the meeting.
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INFORMATION FOR SPEAKERS AT THE FIELDS INSTITUTE
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Fields staff will assist you with all audiovisual equipment before
your talk. Our standard audio-visual equipment provided for a talk
with slides is a screen with data projector and Fields laptop computer
if needed. In addition our lecture room is equipped with chalk boards
for your use. The standard options for slides are:
1. The preferred and most reliable option is a PDF file presented
on a Fields computer. Please bring your slides on a USB key or send
them in advance to :
inquiries@fields.utoronto.ca
2. A PowerPoint presentation (any format) from your own laptop.
Please bring your laptop at least 15 minutes in advance of the talk
so we can assist you with the set up.
Please contact
inquiries@fields.utoronto.ca
if you have any questions about the AV set up.
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AGENDA
Theme: Research Day
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10:10 AM - 10:40 AM Immaculate Kizito Namukasa (Western University)
Title: Classroom practices supporting mathematics curricula in the
Montessori system
Abstract: Providing teacher education and on-going professional
learning opportunities that offer additional learning to what teachers
might have learned at school and university is increasingly recognized
as a central way to support high quality and demanding mathematics
curricula. I report on a study how the mathematics-for-teaching
training and ongoing professional development interact with classroom
practices in the Montessori school system in Ontario. The research
questions are: (1) what knowledge and competencies do Montessori
teachers need and learn? (2) How does this learning make its way
and come to life in their own teaching? (3) And how do classroom
practices further change teacher's knowledge? In the presentation,
I share preliminary analysis of data on the mathematics knowledge,
the affective characteristics-beliefs and comfort levels, and the
pedagogical practices of teachers in one Montessori school system.
Bio: Immaculate Kizito Namukasa is currently involved in
research on the use of manipulatives -concrete, virtual and apps-in
teaching. This interest has led her to research in private schools
using 18th century tried and true philosophies of teaching using
well-planned teaching materials and structured classroom environments.
Previously she has produced video resources on math-for-teaching
through problem solving in which Ontario teachers are featured (http://www.edu.uwo.ca/faculty_profiles/cssal/namukasa_immaculate/resources.html).
She has also worked with teams of teachers in Africa and Southern
China exploring how mathematics-for-teaching may differ with geographical
contexts. This summer Immaculate (in collaboration with Drs. George
Gadanidis and Donna Kotsopoulos) worked with teachers who are interested
in teaching kids to code as well as to learn computational skills
(see http://www.researchideas.ca/coding). From September 2012 to
September 2014, Immaculate served as a journal editor for the Ontario
Mathematics Gazette.
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10:40 AM - 11:10 AM Catherine D. Bruce (Trent University)
Title: Connecting spatial reasoning to math learning
Abstract: What do we mean by spatial reasoning and why is
it important for learning? As a follow-up to a previous Fields event
on spatial reasoning, in this talk, Cathy Bruce of Trent University
will explore how spatial reasoning plays into mathematics learning
and how it can connect to mathematics classroom practice. She will
also present research that she and her Spatial Reasoning Study Group
(SRSG) colleagues have been doing, including presenting findings
from a knowledge synthesis project and the continued exciting outcomes
of the Math for Young Children (M4YC) research work. In particular,
Cathy will feature the learning of a group of K-2 children and their
teachers at one school over a period of two years. She will also
pose some larger questions about how disciplines are, and are not,
'talking' to one another as it relates to mathematics education
issues.
Bio: Dr. Catherine D. Bruce is an Associate Professor at
Trent University where she is Director of the Centre for Teaching
and Learning, and teaches mathematics methods courses at the School
of Education and Professional Learning. Her research interests are
centered on mathematics learning, teacher efficacy, professional
learning models, and technology use in mathematics education. Cathy
is currently studying aspects of spatial reasoning for learning
mathematics thanks to federal research funding focused on Math for
Young Children, teacher-researcher collaborations, and related knowledge
synthesis. More about her research and publications can be found
at www.tmerc.ca.
________________________________________
11:15 AM - 12:00 AM Short Oral Communications (15 minutes
each):
1. Amy Lin (Brock University)
Title: Multimodal learning of mathematics around touchscreens
Abstract: Traditionally, mathematical thinking has been associated
with individual intellectual processes. The mind was responsible
for processing the content, moving from the concrete to the more
abstract ideas. Researchers are now starting to challenge this assumption
and multimodalities including bodily motion are considered to be
working together with the brain when engaging in and learning mathematics.
Computer interfaces such as touchscreens, tablets, and smartphones
enable designers to create tasks that embed actions for the user.
This study addresses questions related to embodied interactions
and how they can support visual-spatial reasoning of children. Spatial
reasoning educational apps were designed for touchscreen interfaces
using theoretical perspectives on embodied cognition, providing
opportunities for children to access learning through multimodalities.
These apps will be used in an exploratory study to be completed
this spring on a small group of children and modifications will
be made based on their feedback. A larger comprehensive study will
research the effect of both cued and spontaneous gestures on spatial
reasoning of young children.
Bio: Amy Lin's background in the sciences and the arts helps
explain why her passion in mathematics education is to develop both
the logical and creative aspects of the subject. She is currently
working on her PhD at Brock University in math education and a teacher
and math coach at Craig Kielburger SS. She is often asked to speak
on mathematics teaching and learning around the province and beyond
and she is an author on a number of mathematics resources for students
and teachers at both the elementary and secondary levels. She has
initiated and successfully led many professional development projects
in school boards in Ontario. Amy has won awards for teaching and
leadership, and has worked as a teacher, department head, math coach,
a program consultant, a ministry researcher and provincial lead.
2. Margo Kondratieva (Memorial Univeristy)
Title: Helping in-service mathematics teachers to adopt a problem
solving approach
Abstract: The problem solving approach in teaching mathematics
is emphasized by many contemporary curricula. The graduate course
that I teach introduces in-service teachers to the practice of solving
mathematical problems. The central project of this course asks students
to work in teams on six problems looking for multiple solutions
at the elementary, junior and senior levels. Analysis of the participants'
contributions reveals that by completion of this course many teachers
experience a radical change in the level of confidence and desire
to implement this approach in their practice. In this talk, I will
give more details coming from five years of observations.
Bio: Margo Kondratieva is an Associate Professor at Memorial
University of Newfoundland. She is jointly appointed at the Faculty
of Education and Department of Mathematics and Statistics. She received
a PhD degree in mathematics in 1994. Her research interests include
cognitive and historical developments of mathematical knowledge,
challenge and mathematical giftedness, mathematical paradoxes, intuitive
and rigorous mathematical logic, the role of technology in assisting
mathematical thinking, interconnectedness and unity of mathematical
knowledge, teachers' use and interpretation of mathematical problems.
Her work had been published in more than twenty refereed papers
and book chapters as well as presented at international conferences.
3. Lauren DeDieu (McMaster University)
Title: Writing to learn mathematics in a differential equations
course
Abstract: The use of writing to learn mathematics at the
university-level is a pedagogical tool that has been gaining momentum.
Due to a variety of approaches and contexts, a course that could
particularly benefit from the use of writing is a first course in
differential equations. The setting of this study is a second-year
differential equations class where written assignments have been
incorporated into the course. By analyzing survey results and students'
written work, Miroslav Lovric and I have been trying to understand
the extent to which students view writing as an effective learning
strategy. In this talk, I will discuss our results.
Bio: Lauren is a Ph.D. candidate at McMaster University studying
pure mathematics. Her research lies in the intersection of algebraic
geometry and combinatorics. As well, she has a strong interest in
tertiary mathematics education: in particular, psychological determinants
of student success in mathematics and the role of programming in
the mathematics curriculum.
________________________________________
12:00 PM - 12:30 PM LUNCH BREAK (Light refreshments
provided)
12:30 PM - 1:00 PM POSTER PRESENTATIONS (See below)
________________________________________
1:00 PM - 2:00 PM Peter Liljedahl (Simon Fraser University)
Title: Building Thinking Classrooms
Abstract: We know that problem solving is an effective and important
way for students to learn to think mathematically and to acquire
a deeper knowledge and understanding of the mathematics they are
learning. This is why it is so important that we find ways to enable
teachers to introduce problem solving into their classrooms. But
there is much more to this than the identifying of problems or the
teaching heuristics. Even an infusion of problem solving into mandated
curriculum does not necessarily allow the goals of problem solving
to be realized. The reason for this is that the implementation of
problem solving in a classroom full of students, that are not used
to problem solving, by a teacher who is not experienced with problem
solving, is not a fertile setting for success. The early challenges
that teachers often faces may be enough to cause them to abandon
their efforts. What such teachers needs are a set of tools to help
them have early success in their endeavour - to allow them to see
the benefits of problem solving first hand and to build up the fortitude
and commitment to make it a regular part of her teaching. In this
workshop we will look at a series of such tools, specifically designed
to build a classroom environment conducive to problem solving, and
present the results of research that investigates their effectiveness
in helping teachers to kick-start the use of problem solving in
the classroom. Results indicate that a problem solving environment
and culture can be quickly established even in very traditional
classrooms.
Bio: Dr. Peter Liljedahl is an Associate Professor of Mathematics
Education in the Faculty of Education and the Associate Dean Academic
for the Office of Graduate Studies and Post-Doctoral Fellows at
Simon Fraser University in Vancouver, Canada. Peter is a co-director
of the David Wheeler Institute for Research in Mathematics Education
a senior editor for the International Journal of Science and Mathematics
Education, and the coordinator of the Secondary Mathematics Master's
Program in the Faculty of Education at SFU. Peter is a former high
school mathematics teacher who has kept his research interest and
activities close to the classroom. He consults regularly with teachers,
schools, school districts, and ministries of education on issues
of teaching and learning, assessment, and numeracy.
________________________________________
2:00 PM ADJOURNMENT
________________________________________
Poster Presentations:
Students' misconceptions of trigonometric circle
Elahe Aminifar, Shahid Rajee Teacher Training University, Iran
Maryam Majidifar, Iran
Teacher candidates' online math-for-teachers journals: A search
for mathematical surprise
Rosa Cendros Araujo, Western University
Concept Maps: Empowering students to learn
Marja G. Miller, University of Western Ontario
Community in the elementary mathematics classroom: Student engagement
in face-to-face and online environments
Kiran Pain, York University and Toronto District School Board
Effective and fiscally responsible mathematics teacher education?
Steven Khan, Brock University
Exploring the impact of changes in Ontario's senior mathematics
curriculum on student success in STEM programs
Gurpreet Sahmbi, OISE, University of Toronto
The relationship between middle school students' self-regulatory
skills and problem-solving performance
Zeynep Sonay Ay, Hacettepe University and Visiting Scholar in OISE.
Self-Directed Professional Development and the Elementary Mathematics
Teacher.
Chloe Dawn Weir, University of Western Ontario
Proof Construction and Reconstruction: An Investigation in Undergraduate
Mathematics
Kitty Yan, OISE, University of Toronto
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