General Resources
- List of web-based mathematics resources
- See an extensive list of children's math-related literature (most in our library)
The Ontario Mathematics Curriculum
- View the Ontario 2005 Math Grades 1-8 Curriculum
- View the 'Continuum of Learning' Grades 1-8 Math (2005)
- Access Introduction to Ontario Math Curriculum
- Some Ontario Ministry of Education Mathematics Resources:
MathGAINS
EQAO
Report: K-6, Literacy and Numeracy, Special Needs Children
Report: Junior Years Teaching and Learning Math
Leading Math Success (7-12)
Teachers and Learners
- Two domains: Mathematics and the Learner
- 12 most important things ...better math teacher (M. Burns, 1993)
- Using Representations and Models A Discussion (based on Van de Walle)
- EQAO Attitude Survey Summary (Grades 3 & 6)
- Adolescence and Math
- Learning Disabilities in Mathematics. A very good website to consider for background and instructional ideas on dyscalculia is www.dyscalculia.org
Problem Solving
- See the 'Teaching Through Problem Solving'-Perspectives presentation
- A discussion of the TTPS Rectangles and Clock Problem
- Two approaches to teaching
- Problem Solving: PowerPoint presentation
- Access Child Problem Solving Rubric
- Access Child Problem Solving Analysis Lesson
- October 2011 Mathematical Reasoning Workshop
Whole Numbers
- Whole Numbers: Big Ideas and Scenarios (2011-12)
- Access The Whole Number Seminar Handout
- Access The Whole Number Seminar Handout - Discussion
Fractions and Decimals
- Fractions: Big Ideas and Scenarios (2011-12)
- The Fraction Seminar Handout
- Developing Fractions Presentation
- Examples/Non-Examples using Fractions
- Converting from Fractions to Percents (Visual)
- Fractions to Repeating Decimals
- Repeating Decimals Become Art!
Geometry & Measurement
- Access the POLYGON Activity Instructions
- Access Three Mathematical Investigations: Two-Dimensional Geometry
- Access the Triangles Property Invesitgation and Orthographic (3-D Geometry) Activities
- Grade 5 Area and Perimeter Relationship Investigations
- Practical Measurement Applications: perimeter and Mass: The cost of mail!
Click on the investigations to access them:
Interdisciplinary Ideas
(I) Math and Art: Proportional Reasoning
(with thanks to Dr. Chris Brew)
- Access Proportional Reasoning Activity Art Work
- Access Scaling Activity Maths & Art Australian Student Work and Explanation
(II) Math, Science, and Other Subjects: Hallowe'en/Fall Theme
- Access the Apples Activity Sheet
- Access the Apples Activity Discussion
(III) Math and Health Using Statistics Canada Data
- View Interdisciplinary Heath-Math J/I assignment (06-07)
- The Health Interdisciplinary website (health, mathematics and technology): http://nipissingu.ca/iteachhealth/
(This website provides direct links to the Ontario 1-8 PHE and mathematics curriculum guidelines, and to health-related Statistics Canada data, as well as very helpful information on graphs and graphing.)
(IV) Geography and Math
- Access the World Travels Grade 7/8 Mathematics Unit (PDF). (Schoenmaker, Adams, Bloomfield, Bohnen, and Mackenzie, created this unit in 2001 as a sample unit through the then Elementary Curriculum Unit Project (Phase One).)
A Bit of Magic!!
- See the Birthday Magic puzzle
Technology-Related Items
- To access samples of Tinkerplots and Fathom activities from Key Press Curriculum, see the list of web-based mathematics resources identified at the top of this page.
- To access GeoGebra ( if not available on your SSE image ) , the freeware available on line, go to http://www.geogebra.org/cms/
- If you have access to Geometer's Sketchpad , the following links offer some sample angle and triangle activities:
Suggested 4-12 Reading List in Mathematics
A. General: Teaching
Artzt, A.F., and Newman (1990). How to use cooperative learning in the mathematics class . Reston, VA: NCTM. (T resource).
Burns, M. (2000). About teaching mathematics: A K-8 resource (2 nd ed.). Sausalito, CA: Math Solutions Publications. (T Resource)
Cathcart, W. G., Pothier, Y., Vance, J., & Bezuk, N. (2011). Learning mathematics in elementary and middle schools: A learner-centered approach. Boston: Pearson. (T Resource)
Gutstein, E., Peterson, B. (Eds.). (2005). Rethinking mathematics: Teaching social justice by the numbers. Milwaukee, WI: Rethinking Schools, Ltd. (T Resource)
Kenny, M.L., and Hirsch, C.R. (1991). Discrete mathematics across the curriculum, K-12. (1991 NCTM Yearbook). Reston, VA: NCTM. (T resource).
Mathematics Teacher. A journal published by NCTM. September to May. (I, S, T resource).
Mathematics Teaching in the Middle School . A journal published by NCTM. Quarterly. (I, T resource).
Posamentier, A., Smith, B., & Stepelman, J. (2006). Teaching secondary school mathematics . (7 th ed.). Upper Saddle River, NJ: Pearson. (T resource).
Principles and standards for school mathematics . (2000). Reston, VA: National Council of Teachers of Mathematics. (T Resource)
Small, M. (2009). Making math meaningful to Canadian students, K-8. Toronto: Nelson (T Resource)
Sobel, M.A., and Maletsky, E.M. (1999). Teaching mathematics: A sourcebook of aids, activities, and strategies. (3 rd ed.). Boston: Allyn & Bacon. (T Resource)
Stenmark, J.K. (Ed.) (1992). Mathematics assessment: Myths, models, good questions, and practical suggestions . Reston: NCTM. (T resource).
Stocker, D. (2006). Maththatmatters: A teacher resource linking math and social justice. Ottawa: CCPA Education Project. (T Resource)
Van de Walle, J., & Lovin, L. (2006). Teaching student-centered mathematics . Boston: Pearson.
Volume 3: Grades 5-8
Volume 2: Grades 3-5 [T Resources]
Volume 1: Grades K-3
B. Problem Solving
Bolt, B. (1989). Mathematical funfair. Cambridge: Cambridge University Press. (I, S).
Brown, S.I., and Walter, M.I. (1990). The art of problem posing . (2 nd ed.). Hillsdale, N.J.: Lawrence Erlbaum. (T resource).
Vecchione, G. (1997). Challenging math puzzles. New York: Sterling Publishing (T resource)
Vout, C., & Gray, G. (1993). Challenging puzzles. Cambridge: Cambridge University Press (T resource)
C. Applications and Investigations
Birch, D. (1988). The king's chessboard. New York: Dial Books for Young Readers. (T resource).
Boles, M., & Newman, R. (1987). The golden relationship: Art, math, nature. (Book 1: universal patterns) (2 nd ed.). Bradford, MA: Pythagorean Press. (T resource).
Downs, J.W. (1993). Practical conic sections. Palo Alto: Dale Seymour. (T resource).
Garland, T.H. (1987). Fascinating Fibonaccis: Mystery and magic in numbers . Palo Alto: Dale Seymour. (T resource).
Garland, T.H. and Kahn, C.V. (1995). Math and music: Harmonious connections. Palo Alto: Dale Seymour. (T resource).
Runion, G.E. (1990). The golden section. Palo Alto: Dale Seymour. (I, S, T resource).
Seymour, D. (1986). Visual patterns in Pascal's Triangle . Palo Alto: Dale Seymour. (I, S).
D. Proof
Solow, D. (1984). Reading, writing, and doing mathematical proofs: Proof techniques for geometry . (Book one). Palo Alto: Dale Seymour. (I, S, T resource).
Solow, D. (1984). Reading, writing, and doing mathematical proofs: Proof techniques for advanced mathematics. (Book two). Palo Alto: Dale Seymour. (S, T resource).
E. Background (see also Applications and Investigations)
Boyer, C.B. (1991). A history of mathematics (2 nd ed.) (Rev. by U.C. Merzbach). New York: John Wiley. (T resource).
Buxton, L. (1984). Mathematics for everyone. New York: Schochen Books. (T resource).
Davis, P., & Hersh, R. (1986). Descartes dream. Boston: Houghton Mifflin. (T resource).
Davis, P., & Hersh, R. (1981). The mathematical experience. New York: Penguin. (T resource).
Devlin, K. (1988). Mathematics: The new Golden Age . London: Penguin. (T resource).
Devlin, K. (2000). The math gene: How mathematical thinking evolved and why numbers are like gossip. London: Weidenfeld & Nicolson. (T resource)
Dewdney, A.K. (1993). 200% of nothing: An eye-opening tour through the twists and turns of math abuse and innumeracy. New York: John Wiley & Sons. (T resource).
Enzensberger, H. M. (1997). The number devil: A mathematical adventure . New York: Henry Holt. (I, S, T resource)
Harel, G., & Dubinsky, E. (eds.) (1992). The concept of function: Aspects of epistemology and pedagogy . New York: John Wiley & Sons. (T resource).
Huff, D. (1993). How to lie with statistics. New York: Norton. (Original published 1954). (T resource).
Kasner, E., & Newman, J.R. (1989). Mathematics and the imagination . Redmond, WA: Press. (Original published 1940). (T resource).
King, J.P. (1992). The art of mathematics. New York: Fawcett Columbine. (T resource).
Livio, M. (2002). The golden ratio: The story of phi, the world's most astonishing number. New York: Broadway Books. (T Resource)
Mason, J., et al. (1985). Thinking mathematically (rev. ed.). Don Mills: Addison Wesley. (T resource).
Mankiewicz, R. (2000). The story of mathematics. London: Cassell & Co. (T resource)
McLeish, J. (1991). The story of numbers: How mathematics has shaped civilization . New: Fawcett Columbine. (T resource).
Ouellette, J. (2010). The calculus diaries: How math can help you lose weight, win in Vegas, and survive a zombie apocalypse. New York: Penguin. (T Resource)
Pappas, T. (1993). Fractals, googols, and other mathematical tales. San Carlos, CA: Wide World Publishing/Tetra. (I, S, T resource).
Pappas, T. (1994). The magic of mathematics: Discovering the spell of mathematics. San Carlos, CA: Wide World Publishing/Tetra. (I, S, T resource).
Peterson, I. (1988). The mathematical tourist: Snapshots of modern mathematics. New York: W. H. Freeman. (T resource).
Salem, L., Testard, F., and Salem, C. (1992). The most beautiful mathematical formulas (trans. J.D. Wuest). New York: John Wiley. (I, S, T resource).
Seife, C. (2000). Zero: The biography of a dangerous idea. New York; Penguin. (T Resource)
Singh, S. (1997). Fermat's enigma: The epic quest to solve the world's greatest mathematical problem. New York: Viking. (T resource)
The story of 1. (2005). Impossible Pictures (DVD). Distributed by PBS Home Video.