Examples are an essential part of mathematics teaching and learning, used on a daily basis to teach and practice content. Yet, selecting good examples for teaching is complex and challenging. This article presents ideas to consider when selecting examples, drawn from a research study with algebra 2 teachers.

Leinhardt, Gaea.2001. “Instructional Explanations: A Commonplace for Teaching and Location for Contrast.” In Handbook of Research on Teaching, edited by VirginiaRichardson, 4th ed., pp. 333–57. Washington, DC: American Education Research Association.

Leinhardt, Gaea.2001. “Instructional Explanations: A Commonplace for Teaching and Location for Contrast.” In )| false

Liz, Bills,
TommyDreyfus,
JohnMason,
PessiaTsamir,
AnneWatson, and OritZaslavsky. 2006. “Exemplification in Mathematics Education.” In Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education (PME), vol. 1, edited by J. Novotná, H. Moraová, M. Krátká, and N. Stehliková, pp. 126–54. Prague, Czech Republic: PME.

Liz, Bills,
TommyDreyfus,
JohnMason,
PessiaTsamir,
AnneWatson, and OritZaslavsky. 2006. “Exemplification in Mathematics Education.” In Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education (PME), vol. 1, edited by J. Novotná, H. Moraová, M. Krátká, and N. Stehliková, pp. 126–54. Prague, Czech Republic: PME.)| false

Mason, John, and DavidPimm. 1984. “Generic Examples: Seeing the General in the Particular.” Educational Studies in Mathematics15, no. 3 (August): 277–89.

Mason, John, and DavidPimm. 1984. “Generic Examples: Seeing the General in the Particular.” )| false

Mohamed, Mohini, and FaridahSulaiman. 2010. “Framework of Knowledge and Teaching Skills of Expert Mathematics Teachers in Using Mathematical Examples.” Procedia-Social and Behavioral Sciences8 (December): 325–31.

Mohamed, Mohini, and FaridahSulaiman. 2010. “Framework of Knowledge and Teaching Skills of Expert Mathematics Teachers in Using Mathematical Examples.” )| false

Rowland, Tim,
AnneThwaites, and PeterHuckstep. 2003. “Novices’ Choice of Examples in the Teaching of Elementary Mathematics.” In Proceedings of the International Conference on the Decidable and the Undecidable in Mathematics Education, edited by AlanRogerson, pp. 242–45. Czech Republic: Brno.

Rowland, Tim,
AnneThwaites, and PeterHuckstep. 2003. “Novices’ Choice of Examples in the Teaching of Elementary Mathematics.” In )| false

Snider, Rachel Beth.2016. “How Mathematical Knowledge for Teaching Intersects with Teaching Practices: The Knowledge and Reasoning Entailed in Selecting Examples and Giving Explanations in Secondary Mathematics.” PhD diss., University of Michigan.

Snider, Rachel Beth.2016. “How Mathematical Knowledge for Teaching Intersects with Teaching Practices: The Knowledge and Reasoning Entailed in Selecting Examples and Giving Explanations in Secondary Mathematics.” PhD diss., University of Michigan.)| false

Tsamir, Pessia.2003. “From ‘Easy’ to ‘Difficult’ or Vice Versa: The Case of Infinite Sets.” Focus on Learning Problems in Mathematics25, no. 2 (Spring): 1.

Tsamir, Pessia.2003. “From ‘Easy’ to ‘Difficult’ or Vice Versa: The Case of Infinite Sets.” )| false

Watson, Anne, and JohnMason. 2006. “Seeing an Exercise as a Single Mathematical Object: Using Variation to Structure Sense-Making.” Mathematical Thinking and Learning: An International Journal8, no. 2 (April): 91–111.

Watson, Anne, and JohnMason. 2006. “Seeing an Exercise as a Single Mathematical Object: Using Variation to Structure Sense-Making.” )| false

Zaslavsky, Orit.2010. “The Explanatory Power of Examples in Mathematics: Challenges for Teaching.” In Instructional Explanations in the Disciplines, edited by Mary KayStein and LindaKucan, pp. 107–28. New York: Springer.

Zaslavsky, Orit.2010. “The Explanatory Power of Examples in Mathematics: Challenges for Teaching.” In )| false

Zaslavsky, Orit.2019. “There Is More to Examples Than Meets the Eye: Thinking with and through Mathematical Examples in Different Settings.” The Journal of Mathematical Behavior53 (March): 245–55.

Zaslavsky, Orit.2019. “There Is More to Examples Than Meets the Eye: Thinking with and through Mathematical Examples in Different Settings.” )| false

Zodik, Iris, and OritZaslavsky. 2008. “Characteristics of Teachers’ Choice of Examples in and for the Mathematics Classroom.” Educational Studies in Mathematics69, no. 2 (October): 165–82.

Zodik, Iris, and OritZaslavsky. 2008. “Characteristics of Teachers’ Choice of Examples in and for the Mathematics Classroom.” )| false