Math+Resources

=Mathematics Resources= • Ball, D., Hill, H., and Bass, H. (2005). Knowing mathematics for teaching: Who knows mathematics well enough to teach third rade and how can we decide? //American Educator//, pp. 14-17, 20-22, 43-46. • Battista, M. (1999). //The mathematical miseducation of America’s youth//. //Phi Delta Kappan Online//. []__.__ • Clements, D. & Battista, M. (1990). Constructivist learning and teaching. //Arithmetic Teacher//, 38(1), 34-35. • Cohen, D. & Ball, D. (2001). Making change: Instruction and its improvement. //Phi Delta Kappan. pp. 73-77.// • Davis, B. (2005). Teacher as “consciousness of the collective’. //Complicity: An International Journal of Complexity and Education//, 2, pp. 85-88. • Davis, B. (2003). Understanding learning systems: Mathematics education and complexity science. //Journal for Research in Mathematics Education// (34)2, pp. 137-167. • Funderstandings. Behaviourism, Communities of Practice, Maslow’s Hierarchy of Needs • Givvin, K., Jacobs, J., & Hollingsworth, H. (2006). What does teaching look like around the world? //ON-Math//, 4(1), 1-7. • Hiebert, J. and Stigler, J. (1999). //The Teaching Gap//: New York: Simon & Schuster Inc. • Jensen, E. (1998). How Julie’s Brain Learns. //Educational Leadership,// 56(3), pp. 1-4. • Knowles, T., and Brown, D. (2000). Understanding the young adolescent. //What every middle school teacher should know.// Portsmouth, NH: Heinemann. • Peterson, B. (2006). Counting dots and measuring area: Rich problems from Japan. //Mathematics Teaching in the Middle School//, pp. 214-220. • Reinhart, S. (2000). Never say anything a kid can say! //Mathematics Teaching in the Middle School//. 5(8), p. 478. • Smith, M. (2004). Beyond presenting good problems: How a Japanese teacher implements a mathematics task. In R. Rubenstein and G. * W. Bright (Eds.) //Perspectives on the Teaching of Mathematics//., pp. 96-106. Reston, VA: NCTM. Bloomington, IN. • Takahashi, A. & Yoshida, M. (2004). Ideas for Establishing lesson-study communities. //Teaching Children Mathematics.// Reston, VA: NCTM. • Wallace, A. (2007). Anticipating student responses to improve problem solving. //Mathematics Teaching in the Middle School//, pp. 504-511. • Wilms, W. (2003). Altering the structure and culture of American public schools. //Phi Delta Kappan Online//. __[]__. • Yoshida, M. (2003). Developing effective use of the blackboard through lesson study. Online publication.
 * Required Readings: **

• Ball, D. L. (2000). //Bridging practices: Intertwining content and pedagogy in teaching and learning to teach. Journal of Teacher Education// (51)3, pp. 241-247. • Bender, W. (2005). Differentiating math instruction. Thousand Oaks, CA: Corwin Press. • Beers, K. (2003). //When Kids Can’t Read What Teachers Can Do//. Portsmouth, NH: Heinemann. • Boaler, J., Humphreys, C. (2005). //Connecting mathematical ideas: Middle school video cases to support teaching and learning//. NH: Heinemann. • Bransford, J., Brown, A., and Cocking, R. (Eds.) //How people learn: Brain, mind, experience, and school.// Washington, D.C.: National Academy Press. • Clarke, D., Keitel, C., and Shimizu, Y. (2007). //Mathematics Classrooms in Twelve Countries: The Insider's Perspective//. Sense Publishers. • Davis, B. (2005). Emergent Insights Into Mathematical Intelligence from Cognitive Science. //Delta-K//, 42(2), pp. 10-19. • Davis, B. & Sumara, D. (2006). //Complexity and Education.// NJ: Lawrence Erlbaum Associates. • Dolk, M., Fosnot, C., Hersch, S., Tarlow, L., Cameron, T. (2006). //Exploring playgrounds: A Context for multiplication of fractions: Grades 5-8.// Portsmouth, NH: Heinemann. • Dolk, M., Fosnot, C., Hersch, S., Tarlow, L., Cameron, T. (2006). //Fostering children’s mathematical development: Grades 5-8.// Portsmouth, NH: Heinemann. • Dolk, M., Fosnot, C., Hersch, S., Tarlow, L., Cameron, T. (2006). //Sharing submarine sandwiches: Grades 5-8//. Portsmouth, NH: Heinemann. • Dolk, M., Fosnot, C., Hersch, S., Tarlow, L., Cameron, T. (2006). //Working the Ratio Table: Grades 5-8.// Portsmouth, NH: Heinemann. • Fernandez, C. and Yoshida, M. (2004). //Lesson study: A Japanese approach to improving mathematics teaching and learning.// Mahwah, NJ: Lawrence Erlbaum Associates. • Fosnot, C. (2007). //Contexts for learning mathematics: Investigating fractions, decimals, and percents.// Portsmouth, NH: Heinemann. • Fosnot, C. and Dolk, M. (2001). Y//oung Mathematicians at Work: Constructing Fractions, Decimals, and Percents.// Portsmouth, NH: Heinemann. • Fosnot, C. (2005). //Constructivism: Theory, perspectives, and practice (2 nd edition)//. New York, NY: Teacher’s College Press. • Fulton, B. and Lombard, B. (2001). The pattern and function connection. CA: Key Curriculum Press. • Gladwell, M. (2002). The tipping point: How little things can make a big difference. New York, NY: Little, Brown and Company. • Gladwell, M. (2008). Outliers. New York, NY: Little, Brown and Company • Gordon Calvert, L. (2001). //Mathematical conversations within the practice of mathematics.// New York, NY: Peter Lang Publishing. • Hyde, A. (2006). //Comprehending math: Adapting reading strategies to teach mathematics, K-6.// Portsmouth, NH: Heinemann. • Isoda, M., Stephens, M., Ohara, Y., and Miyakawa, T. (2007). //Japanese lesson study in mathematics: Its impact, diversity, and potential for educational improvement.// New Jersey: World Scientific. • Jacobs, J. and Morita, E. (2002). Japanese and American teachers’ evaluations of videotaped mathematics lessons. //Journal for Research in Mathematics Education// (33)3, pp. 154-175. • Johnson, S. (2005). //Everything bad is good for you: How today’s popular culture is actually making us smarter//. New York, NY: Riverhead Books. • Johnson, S. (2003). //Emergence: The connected lives of ants, brains, cities, and software.// New York, NY: Riverhead Books. • Kilpatrick, J. Swafford, J., and Findell, B. (Eds.) (2001). //Adding it up//. Washington, DC: National Academy Press. • Konold, C. (2005). E//xploring data with Tinkerplots TM .// CA: Key Curriculum Press. • Lakoff, G., & Nunez, R. (2000). //Where mathematics comes from; how the embodied mind brings mathematics into being.// New York, NY: Basic Books. • Lewis, C. (2002). //Lesson study: A handbook of teacher-led instructional change//. Philadelphia, PA: Research for Better Schools. • Ma, L. (1999) //Knowing and Doing Elementary Mathematics.// Mahwah, New Jersey: Lawrence Erlbaum Associates, Inc. • Mason, J. (2002). //Researching your own practice: The discipline of noticing//. New York, NY: RoutledgeFalmer. • Mason, J. (1999). //Learning and doing mathematics (2 nd edition).// UK: Open University. • Mason, J., Graham, A., and Johnston-Wilder, S. (2005). //Developing thinking in algebra.// UK: Sage Publishing. • Mason, J., and Johnston-Wilder, S. (2006). //Designing and using mathematical tasks.// UK: Tarquin Publications. • Mason, J. and Johnston-Wilder, S. (Eds.) (2004). //Fundamental constructs in mathematics education//. New York, NY: RoutledgeFalmer. • Montague, M. and Jitendra, A. (Eds.). (2006). //Teaching mathematics to middle school students with learning difficulties//. New York, NY: Guilford Press. • Moses, B. (Ed.) (1999). //Algebraic thinking, Grades K-12: Readings from NCTM’s school-based journals and other publications.// Reston, VA: National Council of Teachers of Mathematics. • National Council for Teachers of Mathematics. (2000) //Mathematics Assessment: A Practical Handbook Grades 6 – 8.// Reston, VA: NCTM • National Council for Teachers of Mathematics. //Navigation Series in Number Sense and Numeration, Measurement, Algebra, Data Management (Grades 5 to 8, Grades 9 to 12)// • Rivera, D. (Ed.) (1998). //Mathematics education or students with learning disabilities.// Austin, TX: Proed. • Seago, N., Mumme, J., Branca, N. (2004). //Learning and teaching linear functions: Video cases for mathematics professional development.// NH: Heinemann. • Strauch, B. (2003). T//he primal teen: What the new discoveries about the teenage brain tell us about our kids.// New York, NY: Anchor Books. • Surtamm, C. and Graves, B. (2007). CIIM Report. Ottawa: University of Ottawa. • // The Super Source: Grade 7 to 8 // (CD and hard copy formats). Vernon Hills, IL: ETA/ Cuisenaire. • Thompson, V. and Mayfield-Ingram, K. (1988). //Family math: The middle school years – Algebraic reasoning and number sense.// CA: The Regents of the University of California. • Tomlinson, C.A. (1999). //The differentiated classroom: Responding to the needs of all learners.// Alexandria, VA: Association for Supervision and Curriculum Development. • Tucker, B., Singleton, A., and Weaver, T. (2002). //Teaching mathematics to all children: Designing and adapting instruction to meet the needs of diverse learners.// Columbia, OH: Merrill Prentice-Hall. • Van de Walle, J. and Lovin, L. (2006). //Teaching student-centered mathematics: Grades 5-8.// New York, NY: Pearson Education, Inc. • Van de Walle, J. and Folk, S. (2004//). Elementary and middle school mathematics: Teaching developmentally. Toronto//: Pearson Education. • Watson, A. (2006). Raising achievement in secondary mathematics. UK: Open University Press. • Watson, A. and Mason, J. (2005). //Mathematics as a constructive activity: Learners generating examples.// Mahwah, NJ: Lawrence Erlbaum Associates. • Wenger, E. (1998). Communities of practice: Learning as a social system.//.// Systems Thinker (9)5, pp. 1-10. • Williamson Shaffer, D., Squire, K., Halverson, R., and Gee, J.P. (2005). Video games and the future of learning. //Phi Delta Kappan, 104-111.//
 * Supplemental Readings: **

· TIPS: Targeted Implementation and Planning Supports - [] · Leading Math Success: Expert Panel Report · Think Literacy, Mathematics, Grades 7-9 and 10-12
 * Resources from the Ministry of Education and Training: **

The following list of journals and websites are useful for your mathematics teacher inquiry.
 * Journal and Websites for Teacher Inquiry: **

· Complicity (e-journal on website, w ww.complexityandeducation.ca) · Educational Leadership · Educational Researcher · Educational Studies in Mathematics · For the Learning of Mathematics · Journal of Mathematical Behaviour · Journal of Mathematics Teacher Education · Journal for Research in Mathematics Education · Mathematics Education Research Journal ||  || · Mathematics for the Middle Grades (NCTM) · Mathematics Teaching · Mathematics Teaching in the Middle School (NCTM) · Mathematical Thinking and Learning · School Science and Mathematics · Teaching Children Mathematics (NCTM) · The Elementary School Journal · The Gazette (OAME) · The Journal of Mathematics Teacher Education · The Mathematics Teacher (NCTM) || · CMESG (Canadian Mathematics Education Study Group) - [] · Complexity Science and Education - www.complexityandeducation.ca · Curriculum Services Canada – www.curriculum.org · Deborah Loewenberg Ball- [|www-personal.umich.edu/~dball/] · Elementary Mathematics Directory - www.wits.ac.za/ssproule/elem_pow.html · ENC Online Math Topics - [] · EQAO - [|www.eqao.com/06ede/ed6_1e.asp] · Interactive Mathematics Miscellany and Puzzles - www.cut-the-knot.org/content.shtml · Japanese Lesson Study (many websites) · Leading Math Success (7-12) Ontario Ministry of Education – [] ||  || · Math Archive -[] · Math Forum - [] · [|MATH PRACTICE & LEARNING PROGRAM – FREE FOR TEACHERS] · National Academy Press - [|www.nap.edu/] · National Council for Teachers of Mathematics – www.nctm.org · National Library for Virtual Manipulatives -  nlvm.usu.edu/en/NAV/vlibrary.html · Online professional development programs - [|www.learner.org/index.html] · Ontario Association for Mathematics Education – [|www.oame.on.ca] · Ontario Curriculum Centre – [|www.curriculum.org] · Ontario Ministry of Education www.edu.gov.on.ca · The Learner’s Perspective Study · TIMSS - [] || · Learning Mathematics for Teaching (Deborah Ball) webcast (LNS – [|www.curriculum.org]) · Differentiating Mathematics Instruction webcast (Marian Small) (LNS – www.curriculum.org) · Investigating High Yield Strategies for Improving Mathematics Instruction and Student Learning webcast (LNS – www.curriculum.org) ||  || · Japanese Lesson Study: Ideas for Improving Mathematics Teaching (Frances Curcio, NCTM) Learning Mathematics in Contexts (Cathy Fosnot) webcast (LNS – www.curriculum.org) · Making Mathematics Accessible for All Students webcast (LNS - [|www.curriculum.org]) || · Abacus, Algetiles, Algeblocks, Attribute blocks, Balance and weights, Base 10 materials, Calculator (TI-15, TI-84+ graphing) · Cards, playing, Connecting cubes (1 cm, 2 cm, 1.8 cm, and 2.5 cm), Connecting plastic shapes to build 2D shapes and 3D nets · Clocks, Coloured tiles, Coloured relational rods, Dice/Numbered cubes, Fraction Shapes, Geoboards (5 x 5, and 11 x 11, circular) and rubber bands, · Interlocking cubes (larger size), Number lines, Pattern blocks, Pentominoes, Protractor, Spinners, Stackable blocks, · Tangrams, Thermometers, 3D solids, Two-coloured counters, Two-dimension shapes (assortment) · Trundle wheel, variety of Found Materials (e.g., cereal boxes, cans, egg cartons, cookie trays)
 * Mathematics Education Journals: **
 * · Cognition and Instruction
 * ** Mathematics Education Websites: ** ||
 * · APEC – Tsukuba Conference ([|www.criced.tsukuba.ac]. Jp/math/apec2006)
 * ** Mathematics Education Videos: ** ||
 * · Coaching for Student Success webcast (LNS – www.curriculum.org)
 * Resource Materials **
 * Manipulatives: **

· Fathom, Geometer’s Sketchpad 4, Microsoft Excel, Microsoft Word, Smart Ideas, Tabs+, Tinkerplots
 * Ministry Licensed Software: **

· Hexagonal grid paper, Isometric dot paper, Isometric grid paper, Pattern block paper, Square dot paper · Square grid paper, (1cm, 2cm, chart size), Ten Frame Grids, Triangular grid paper
 * Black Line Masters - Types of Paper: **