To access the 2005 Grades 1-8 Mathematics Curriculum Continuum click here
To access the 2005 Grades 7--10 Academic Mathematics Curriculum Continuum click here
To access the 2005 Grades 7--10 Applied Mathematics Curriculum Continuum click here
The Ontario Grades 9 and 10 Mathematics curriculum (revised, 2005) can be accessed online at http://www.edu.gov.on.ca/eng/curriculum/secondary/math.html
The Ontario Grades 1-8 Mathematics curriculum (revised, 2005) can be accessed online at http://www.edu.gov.on.ca/eng/curriculum/elementary/math.html
(Other Ontario mathematics education documents can also be accessed at this location)
For a note on using Star Office Equation Editor, click here . (Courtesy of Julius Pasca-Hossu)
To access the TI-83+ simulator download, click here ONCE THERE: 'search' for debugger, and then select TI-83+ SDK (software development kit) . You will have to register, but that is free.
To access the "Wired Math" PowerPoint presentation click here
For a Statistics Canada example of data to which one can apply linear regression (e.g., grade 9)--as well as other graphing strategies--go the Statistics Canada website ( http://www.statcan.ca/ ), then Learning Resources, then E-Stat (you'll have to accept terms), then User Guides (left side bar), then under Environment Data base, choose "Quick guide--Analyzing provincial forestry practices using scatter graphs". This will give a complete activity description that can be printed off and used in class.
To see the January 2006 message from Statistics Canada regarding Data Fairs, MDM4U and Census at School click here
Recent (2003) results of international testing in mathematics and problem solving (and other areas such as reading and science)--"Measuring Up: Canadian Results of the OECD PISA Study"--can be obtained by going to http://www.pisa.gc.ca/publications_e.shtml PISA stands for Programme for International Student Assessment.
At http://www.curriculum.org/csc/library.shtml (the Curriculum Services Canada site) you will find Ontario secondary school Course Profiles. The curriculum 'specific expectations' on which these documents were based are from the 1997 (grades 1-8) and 1999 (grades 9 and 10) mathematics curriculum policy documents. These two documents have now been revised (2005). It will be up to the user to make the necessary adjustments to the revised specific expectations. The resource documents are nevertheless quite new!!---Don't let the revision deter you from making use of them! At http://www.curriculum.org/lms/library.html under the heading Leading Math Success you will find other Ontario Ministry of Education sponsored material such as 'TIPS', and material that complements and supports TIPS documents, and Impact Math. This last item consists of material designed for Ontario grade 7 and 8 classes, strand by strand.
To read the 2004 report, Leading Math Success--Mathematical Literacy Grades 7 - 12: The Report of the Expert Panel on Student Success in Ontario , go to http://www.edu.gov.on.ca/eng/document/reports/numeracy/index.html
To access the Communication in Mathematics presentation click here
To access the 'Nipissing University (CD&E) Unit Plan' click here
To access the Grades 9 and 10 Mathematics Curriculum Document Analysis activity , click here
To access the Summaries of the Grades 9 & 10 Mathematics Curriculum Document click here
ALGEBRA RELATED ITEMS
To access the Basic Lesson Plan (Factoring) click here
To access the "binomial grid" discussion click here
To access the "box technique" discussion click here
Mathematical Structures: click here
To access the Early Equation Solving presentation click here
To access "Common Mistakes" click here ; "Which One Doesn't Belong" click here
To access the Specific Expectations "object/action" samples click here
To access the "Pumpkin Activity" questions click here
A suggested reading list of resources useful for the intermediate and secondary mathematics teacher are provided. The list is quite long, but organized under the headings of General: Teaching; Problem Solving; Applications and Investigations; Calculators and Computers; Proof; and Background (history, philosophy, etc.) The list is in need of updating, and that is happening over the course of the year.
Suggested Intermediate and Secondary 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).
Bell, A.W., Costello, J., and Kuchemann (1984). Research on learning and teachin . Windsor, UK: NFER-Nelson. (T resource).
Bishop, A.J., and Nickson, M. (1983). Research on the social context of mathematics education. Windsor, UK: NFER-Nelson. (T resource).
Cooney, T.J., and Hirsch, C.R. (1990). Teaching and learning mathematics in the 1990s. (1990 NCTM Yearbook). Reston, VA: NCTM. (T resource).
Coxford, A.F., and Shulte, A.P. (1988). The ideas of algebra, K-12. (1988 NCTM Yearbook).Reston: NCTM. (T resource).
Curriculum and evaluation standards for school mathematics. (1989). Reston: NCTM. (T resource).
Dessart, D.J., and Suydam, Marilyn N. (1983). Classroom ideas from research on secondary mathematics . Reston: NCTM. (I, S, T resource).
Dickson, L., Brown, M., and Gibson, O. (1984). Children learning mathematics: A teacher's guide to recent research. Oxford: Holt. (T resource).
Driscoll, Mark J. (1981). Research within reach: Secondary school mathematics. Reston: NCTM. (T resource).
Edwards, E.L. (Ed.) (1990). Algebra for everyon. Reston: NCTM. (T resource).
Farrell, M.A., and Farmer, W.A. (1988). Secondary mathematics instruction: An integrated approach. Providence, R.I.: Janson. (I, S, T resource).
Focus on renewal of mathematics education: Guiding principles for the early, formative and transition years. Toronto: Ontario Association for Mathematics Education/Ontario Mathematics coordinators Association. (T resource).
Hart, K.M. (ed.) (1981). Children's understanding of mathematics: 11-16. London: John Murray. (T resource).
Hirsch, C.R., and Zweng, M.J. (1985). The secondary school mathematics curriculum. (1985 Yearbook). Reston, VA: NCTM. (T resource).
Howson, A.G. (1983). Curriculum development and curriculum research. Windsor, UK: NFER-Nelson. (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).
Larcombe, T. (1985). Mathematical learning difficulties in the secondary school . Milton Keynes, UK: Open University Press. (T resource).
Living with math (A teacher's resource for grade 11 basic courses) . (1985). Wellington County: Grand Valley Mathematics Association. (S, 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).
OAC Algebra and Geometry sample final exams, with solution and marking schemes. (1989). Wellington County: Grand Valley Mathematics Association. (T resource).
OAC Finite Mathematics sample final exams, with solution and marking schemes. (1989). Wellington County: Grand Valley Mathematics Association. (T resource).
Posamentier, Alfred S., and Stepelman, J. (2000). Teaching secondary school mathematics. (5 th ed.). Toronto: Merrill. (T resource).
Professional standards for teaching mathematics . (1991). Reston: NCTM. (T resource).
Schoen, H.L., and Zweng, M.J. (1986). Estimation and mental computation. (1986 NCTM Yearbook). Reston: NCTM. (T resource).
Smart, M., and Laycock, M. (1984). Hands on math for secondary schools. Hayward: Activity Resources. (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.
Stenmark, J.K. (Ed.) (1992). Mathematics assessment: Myths, models, good questions, and practical suggestions. Reston: NCTM. (T resource).
Teaching math in the transition years. (1990). Waterloo: Grand Valley Mathematics Association. (I, T resource).
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).
Curcio, Frances R. (Ed.). (1987). Teaching and learning: A problem-solving focus. Reston: NCTM. (T resource).
Curriculum Branch, (1987). Problem solving in mathematics: Focus for the future. Edmonton: Alberta Education. (I, S, T resource).
Fisher, L., and Kennedy, B. (1984). Brother Alfred Brousseau problem-solving and mathematics competition: Introductory division. Palo Alto: Dale Seymour. (I, S).
Greenes, C., Immerzeel, G., Ockenga, E., Schulman, L., Spungin, R. (1990). Problem resource book 2 (secondary (grades 9-12)). Palo Alto: Dale Seymour. (S).
Haag, V., Kaufman, B., Martin, E., and Rising, G. (1987). Challenge: A program for the mathematically talented. (vol. 3). Menlo Park, CA: Addison Wesley.
Problem solving… A basic mathematics goal. Book 1: Becoming a better problem solver. (1980). Columbus, OH: Ohio Department of Education. (T resource).
Problem solving… A basic mathematics goal. Book 2: A resource for problem solving. (1980). Columbus, OH: Ohio Department of Education. (T resource).
Recreational math problems for high school students: Books I and II (rev.). (1984). Wellington County: Grand Valley Mathematics Association. (T resource).
Silver, E.A. (1985). Teaching and learning problem solving: Multiple research perspectives. New Jersey: Erlbaum. (T resource).
Whimby, A., and Lochhead, J. (1991). Problem solving and comprehension. (5 th ed.). Hillsdale, N.J.: Lawrence Erlbaum. (I, S, T resource).
C. Applications and Investigations
Alberta Education. (1992). Mathematics at work in Alberta . Edmonton: author. (I, S, T resource).
Austin, J.D. (1991). Applications of secondary school mathematics: Readings from the ‘Mathematics Teacher'. Reston, VA: NCTM. (I, S).
Bezuska, S.J., and Kenney, M. (1982). Number treasury: A sourcebook of problems for calculator and computers. Palo Alto: Dale Seymour. (I, S, T resource).
Birch, D. (1988). The king's chessboard. New York: Dial Books for Young Readers. (T resource).Boles, M., and Newman, R. (1987). The golden relationship: Art, math, nature. (Book 1: universal patterns) (2 nd ed.). Bradford, MA: Pythagorean Press. (T resource).
Carlson, R.J., and Winter, M.J. (1993). Algebra experiments II: Exploring non-linear functions. Menlo Park, CA: Addison-Wesley. (S, T resource).
Dalton, L.C. (1983). Algebra in the real world: 38 enrichment lessons for Algebra 2. Palo Alto: Dale Seymour. (S, T resource).
Downs, J.W. (1993). Practical conic sections . Palo Alto: Dale Seymour. (T resource).
Easterday, K.E., Henry, L.L., and Simpson, F.M. (1981). Activities for junior high school and middle school mathematics: Readings from the ‘Arithmetic Teacher' and the ‘Mathematics Teacher'. Reston, VA: NCTM. (J, I).
Egsgard, J., Flewelling, G., Newell, C., and Norburton, W. (1988). Making connections with mathematics. Providence, R.I.: Janson. (I, S, T resource).
Froelich, G.W., et al. (1991). Connecting mathematics. (Curriculum and evaluation standards for school mathematics addenda series, grades 9-12). Reston, VA: NCTM. (I, S, 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).
Landwehr, J.M., Swift, J., and Watkins, A.E. (1987). Exploring surveys and information from samples. Palo Alto: Dale Seymour. (J, I, S, T resource).
Landwehr, J.M., and Watkins, A.E. (1986). Exploring data. Palo Alto: Dale Seymour. (J, I, S, T resource).
Maletsky, E.M., and Hirsch, C.R. (eds.) (1981). Activities from the Mathematics Teacher. Reston, VA: NCTM. (I, S).
Marcy, S., and March, J. (1983). Algebra with pizzazz , (Books A to D). Palo Alto, CA: Creative Publications. (I, S).
Newman, C.M., Obremski, T.E., and Scheaffer, R.L. (1987). Exploring probability. Palo Alto: Dale Seymour. (J, I, S, T resource).
Runion, G.E. (1990). The golden section. Palo Alto: Dale Seymour. (I, S, T resource).
Sakamoto, E. (1992). The environmental math workbook. Toronto: Courseware Solutions. (J, I, T resource).
Seymour, D. (1986). Visual patterns in Pascal's Triangle. Palo Alto: Dale Seymour. (I, S).
Souviney, R., Britt, M., Garguilo, S., and Hughes, P. Mathematical Investigation: A series of situational lessons. Palo Alto: Dale Seymour.
Book one (1990) (I, S, T resource)
· Geometry . Patterns . Genetics
· Operations Research . Pholography
Book two (1992) (I, S, T resource)
· Networks . Sports Math . Discovering Rules
· Exploring Rates . Using Maps
Book three (I, S, T resource)
· Money matters . Using Scales . Understanding Finance
· Evaluation Loans . Taking a Chance
· Linear Problems
Taylor, A. (1974). Math in art. Hayward, CA: Activity Resources Co. (T resource).
Wahl, M. (1988). A mathematical mystery tour: Higher-thinking math tasks. Tucson, AZ: Zephyr - Press Learning Materials. (Includes “newspaper” Mystery Tour Guide .)
Winter, M.J., and Carlson, R.J. (1993). Algebra experiments I: Exploring linear functions. Menlo Park, CA: Addison-Wesley. (I, S, T resource).
D. Calculators and Computers (see also Applications)
Fey, J.T., and Hirsch, C.R. (1992). Calculators in mathematics education. (1992 NCTM Yearbook). Reston: NCTM. (T resource).
Kelly, B. (1994). Exploring statistics with the TI-82 Graphics Calculator. Burlington, ON: Brendon Kelly Publishing. (S, T resource).
Micro Math. Journal of the Association of Teachers of Mathematics. Published three times a year by Basil Blackwell (U.K.). A few issues available in classroom, newly subscribed by Nipissing University library.
E. 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).
F. 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., and Hersh, R. (1986). Descartes dream . Boston: Houghton Mifflin. (T resource).
Davis, P., and Hersh, R. (1981). The mathematical experience . New York: Penguin. (T resource).
Devlin, K. (1988). Mathematics: The new Golden Age . London: Penguin. (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).
Harel, G., and Dubinsky, E. (eds.) (1992). The concept of function: Aspects of epistemology and pedagogy. New York: John Wiley & Sons. (T resource).
Kasner, E., and Newman, J.R. (1989). Mathematics and the imagination. Redmond, WA: Microsoft Press. (Original published 1940). (T resource).
King, J.P. (1992). The art of mathematics. New York: Fawcett Columbine. (T resource).
Mason, J., et al. (1985). Thinking mathematically (rev. ed.). Don Mills: Addison Wesley. (T resource).
McLeish, J. (1991). The story of numbers: How mathematics has shaped civilization. New York: Fawcett Columbine. (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).
Rucker, R. (1987). Mind tools: The five levels of mathematical reality. Boston: Houghton Mifflin. (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).
Willoughby, S. (1990). Mathematics education for a changing world. Alexandria, VI: ASCD.(T resource)