Resources
Books
Beckmann, Sybilla. Mathematics for Elementary Teachers. New York: Pearson, 2018.
Karp, Alexander, and Nicholas Wasserman. Mathematics in Middle and Secondary School: A Problem Solving Approach. Charlotte, NC: Information Age Publishing, Inc., 2014.
Klein, Felix. Elementary Mathematics from an Advanced Standpoint: Geometry. New York: Dover, 2004.
Piccioto, Henri. Polyomino Lessons. 1986. www.MathEducationPage.org.
Van de Walle, John A., Karen S. Karp, and Jennifer M. Bay-Williams. Elementary and Middle School Mathematics: Teaching Developmentally. Boston: Pearson Education, Inc., 2001.
Van de Walle, John A., and Lou Ann H. Lovin. Teaching Student-Centered Mathematics: Grades 3-5. 2 vols. Boston: Pearson Education, Inc., 2006.
Articles
Bell, Stephanie. “Project-Based Learning for the 21st Century: Skills for the Future.” The Clearing House, 83, no. 2 (2010): 39-43.
Boaler, Jo, Lang Chen, Cathy Williams, and Montserrat Cordero. “Seeing as Understanding: The Importance of Visual Mathematics for Our Brain and Learning.” Journal of Applied and Computational Mathematics, 5 (2016): 1. DOI: 10.4172/2168-9679.1000325.
Carbonneau, Kira J., Scott C. Marley, and James P. Selig, “A Metaanalysis of the Efficacy of Teaching Mathematics with Concrete Manipulatives.” Journal of Educational Psychology, 105 (2013): 380-400.
Kim, Eun Mi, Jeff Haberstroh, Stephanie Peters, Heather Howell, and Leslie Nabors Olah. “A Learning Progression for Geometrical Measurement in One, Two, and Three Dimensions.” Research Report. (December 2017): np.
Laski, Elida V., Jamilah R. Jordan, Carolyn Daoust, and Angela K. Murray. “What Makes Mathematics Manipulatives Effective? Lessons From Cognitive Science and Montessori Education.” SAGE Open (April 2015). doi:10.1177/2158244015589588.
Siegel, Aryn A. and Enrique Ortiz. “Perimeter and Beyond.” Teaching Children Mathematics, 19, no. 1 (August 2012): 38-41.
Tooke, D. James, Barbara Hyatt, Michele Leigh, Barbara Snyder, and Ted Borda “Why Aren’t Manipulatives Used in Every Middle School Mathematics Classroom?” Middle School Journal 24, no. 2, (1992): 61–62. https://doi.org/10.1080/00940771.1992.11495172.
Varygiannes, Dorothy. "The Impact of Open-Ended Tasks." Teaching Children Mathematics 20, no. 5 (2014): 277-80.
Yuan, Y., Chun-Yi Lee, and C-H Wang. “A Comparison Study of Polyominoes Explorations in a Physical and Virtual Manipulative Environment.” Journal of Computer Assisted Learning 26, no. 4 (2010): 307-316. doi:10.1111/j.1365-2729.2010.00352.x
Lectures
Howe, Roger. “Yale National Institute Lecture: Measurement, Scaling, and Dimension.” Lecture given at the Yale National Institute, Yale University, New Haven, CT, July 2019.
Comments: