Class-by-Class Plan for January
Readings will be provided in hard copy form on Day 1

Date
Goals
Readings
1.
Jan 3
FE309


Inquirying About Learning Mathematics for Teaching
- Exploring relationships between participants’ teaching and learning mathematics experiences, beliefs; mathematics content knowledge and mathematics pedagogy within an inquiry and research framework
- Making sense of embodied knowledge of mathematics through different data management strategies.
· Demonstrating an openness to innovation and change
· Having the theoretical understanding and foundation necessary to design, implement and assess programs for all learners
What is “Mathematics for Teaching?” – Deborah Ball
Change in Math Education (Jan 3 – 7)
q Ball, D., Hill, H., and Bass, H. (2005). Knowing mathematics for teaching: Who knows mathematics well enough to teach third grade and how can we decide? American Educator, pp. 14-17, 20-22, 43-46.
q Cohen, D. & Ball, D. (2001). Making change: Instruction and its improvement. Phi Delta Kappan. pp. 73-77.
q Battista, M. (1999). The mathematical miseducation of America’s youth. Phi Delta Kappan
q Wilms, W. (2003). Altering the structure and culture of American public schools. Phi Delta Kappan

2.
Jan 5
FE309

Journal 1

- Developing and understanding a range of solutions and representations to problems
- Experiencing problem solving as an inquiry process for student learning
- Exploring Algebraic Reasoning through Arithmetic using graphing calculators
· Demonstrating an openness to innovation and change
· Understanding and implementing Ministry of Education curriculum expectations
· Creating learning environments to support students in learning mathematics
3.
Jan 7
Ed Commons OISE 3rd floor
Lab 6??


Journal 2
Change in Mathematics Education
- Relating theories of learning to the mathematics teaching of all students
- Analysing lesson design from study of TIMMS research and information about mathematics instruction from around the world
· Understanding how to use, accommodate and modify expectations, strategies and assessment practices based on the developmental or special needs to all students
· Having the theoretical understanding and foundation necessary to design, implement and assess programs for all learners
· Creating learning environments conducive to the intellectual, social, emotional, physical, linguistic, cultural, spiritual and moral development of all learners
4.
Jan 10
FE309
Program Design and Implementation – Problem Solving as a Process for Teaching Mathematics
- Exploring 3-part lesson design and open questions as “During” part of a lesson
- Understanding problem solving as an inquiry process for teaching all students mathematics
- Design problem solving-based mathematics lessons that engage all students
· Understanding how to use expectations, strategies and assessment practices based on needs of all students
· Creating learning environments to support all students in learning mathematics
What does teaching and learning through problem solving mean?
Problem Solving Lesson Design (Jan 10 – 20)
q Yoshida, M. (2003). Developing effective use of blackboard through lesson study.
q Takahashi, A. and Yoshida, M. (2004). Ideas for establishing lesson-study communities. Teaching Children Mathematics. pp. 436-443. (HAVE TO READ)
q Stigler, J. and Hiebert, J. (1999). The teaching gap. New York, NY: The Free Press. (HAVE TO)
q Givvin, K., Jacobs, J., & Hollingsworth, H. (2006). What does teaching look like around the world? ON-Math, 4(1), 1-7.
q Smith, M. (2004). Beyond Presenting Good Problems: How a Japanese teacher implements a mathematics task.
q Ertle, B. and Fernandez, C. What are the characteristics of a Japanese blackboard that promote deep mathematical understanding?
5.
Jan 17
FE309
MATH TASK due
Program Design and Implementation – Problem Solving as a Process for Teaching Mathematics
- Exploring Proportional Reasoning and its impact on mathematics teaching and learning through the Intermediate and Senior divisions
- Relating theories of learning to the mathematics teaching of all students
· Practising designing, implementing and assessing programs for all learners
· Having the theoretical understanding and foundation necessary to design, implement and assess programs for all learners
6.
Jan 20
Ed Commons OISE 3rd Floor
Lab 6?
Understanding Diversity of Knowing and Learning Mathematics – Mathematics for All Students
- Exploring Representations of Multiplication and Division from point of view - Concepts, Algorithms, and Mental Math (Whole Numbers, Decimals, Fractions, Percents, Ratios, Rates, Rational Numbers Using Conceptual Models)
- Relating theories of learning to the mathematics teaching of all students
· Understanding how to use, accommodate and modify expectations, strategies and assessment practices based on the developmental or special needs to all students
7.
Jan 21
OISE
2-286
Analyzing Program Design and Implementation through Mathematics Learning Theory
- Exploring periodic functions and their impact on mathematics teaching and learning through the Intermediate and Senior divisions
· Accessing a variety of resources, including technological resources, within and beyond the educational system to enhance and support student learning
Learning Theories (Jan 21 – 31)
Behaviourism, Constructivism and Complexity Theory
q Funderstandings. Behaviourism, Constructivism (Piaget, Vygotsky)
q Clements, D. & Battista, M. (1990). Constructivist learning and teaching. Arithmetic Teacher, 38(1), 34-35
q Davis, B. (2005). Teacher as “consciousness of the collective’. Complicity: An International Journal of Complexity and Education, 2, pp. 85-88
q Davis, B. (2003). Understanding learning systems: Mathematics education and complexity science. Journal for Research in Mathematics Education (34)2, pp. 137-167
8.
Jan 24
FE309
Exploring Teaching Geometry with Technology – Technology Webquest (ON-LINE)
- Exploring Measurement and Data Management using virtual manipulatives, data management software, and dynamic geometry software
- Analyzing the use of technology for teaching and learning mathematics

· Accessing a variety of resources, including technological resources, within and beyond the educational system to enhance and support student learning
9.
Jan 26
FE309
Micro teaching
Practising Teaching Mathematics through video taping 10 min of a lesson
- Relating theories of learning and adolescence, lesson design principles, and components of an effective learning environment for effective mathematics teaching of all students
· Practising designing, implementing and assessing programs for all learners
10.
Jan 27
FE309
Micro teaching
Practising Teaching Mathematics through video taping 10 min of a lesson
- Relating theories of learning and adolescence, lesson design principles, and components of an effective learning environment for effective mathematics teaching of all students
· Practising designing, implementing and assessing programs for all learners
11.
Jan 31
FE309
3-part Lesson Plan due
Understanding Diversity of Knowing and Learning Mathematics – Mathematics for All Students
- Exploring Representations of Addition and Subtraction from point of view - Concepts, Algorithms, and Mental Math (Whole Numbers, Decimals, Fractions, Percents, Ratios, Rates, Rational Numbers Using Conceptual Models)
- Relating theories of learning to the mathematics teaching of all students
· Understanding how to use, accommodate and modify expectations, strategies and assessment practices based on the developmental or special needs to all students
12.
Feb 2
FE309
Growing Success and Writing Success Criteria
To be defined along the way – identified and shared by peers
13.
Apr 4
FE309
Practicum De-Brief
New assignments
Questioning
14.
Apr 6
FE309
Periodic Functions
Guest: Connie Quadrini
15.
Apr 7
FE309
Assessment
Math Tidbits (2)
16.
Apr 11
FE309
Quadratics
Math Tidbits (2)
Math Tidbits (2)
17.
Apr 13
FE309
Calculus with a Technology lens
Guest: Shirley Dalrymple
18.
Apr 14
FE309
Math Tidbits (2)
Presentations
Properties of Functions: Quadratic, Polynomial, Rational
Geometry and Trigonometry (static) Applications of Vectors (not Calculus)
19.
Apr 18
FE309
Math Tidbits (2)
Presentations
Properties of Functions: Exponential, Logarithmic, Trigonometric
Math Models and Personal Finance
20.
Apr 20
FE309
Data using Tinkerplots
Guest: Paul Costa
21.
Apr 21
FE309
Math Tidbits (2)
Presentations Rate of Change, Limits and Derivatives, Geometry and Algebra of Vectors
Data, Statistics, and Probability
22.
Apr 28
FE309
Math Tidbits (2)
Math Tidbits (2)