The Importance of Playing Math

Math is fun.

It is amazing how many people today would simply scoff at that statement. In their minds, math is the complete opposite of fun. But I’m not stating an opinion, as in “I think math is fun” (though I do). This is a fact: Math. Is. Fun.

…at least it is when we first encounter it, as young children who simply have unending curiosity and interest in puzzles. The biggest flaw in our current math educational system is that it by in large removes that genuine curiosity and interest that students bring with them to the classroom. The result is that over time math becomes less fun and more of a rote chore.

Over the last few weeks a series of similar articles, all addressing the importance of recreational mathematics for children, came across my inbox:

“Bedtime problems boost kids’ math performance” (sciencemag.org)

“Mommy? Daddy? Read me a word problem,” is probably not a request that many parents hear. Yet if a school child’s parents replace a bedtime story with a math discussion even one night a week, the child’s math skills may improve markedly compared with peers who listen to nonmathematical stories, a new study shows.

“Where the Wild Fractions Are: The Power of a Bedtime (Math) Story” (npr.org)

…I talk about stress and performance, I mention how you don’t hear people walking around bragging that they’re not good at reading. But very intelligent people brag about not being good at math. And it turns out that that anxiety and social acceptability has implications for our nation’s success in math and science fields. And it’s really important that we as parents and teachers and adults try to convey to our kids that math is something that’s (a) enjoyable and (b) learned. You’re not born a math person or not; it’s something that’s acquired. And every time we talk about it and we integrate it into our daily lives, children may see the importance of it and that math is not something to be fearful of.

The Importance of Recreational Math (nytimes.com)

In his final article for Scientific American, in 1998, Mr. (Martin) Gardner lamented the “glacial” progress resulting from his efforts to have recreational math introduced into school curriculums “as a way to interest young students in the wonders of mathematics.” Indeed, a paper this year in the Journal of Humanistic Mathematics points out that recreational math can be used to awaken mathematics-related “joy,” “satisfaction,” “excitement” and “curiosity” in students, which the educational policies of several countries (including China, India, Finland, Sweden, England, Singapore and Japan) call for in writing. In contrast, the Common Core in the United States does not explicitly mention this emotional side of the subject, regarding mathematics only as a tool.

A colleague of mine, Scott Eberle, I know has a great interest in these issues of engaging children’s natural curiosity (particularly on the level of aesthetics), authoring an article on “The role of children’s mathematical aesthetics: The case of tessellations” for the Journal of Mathematical Behavior. I am still hoping to have Scott write a guest post for this site when he is able. For now, I’d like to share how I have tried to put this into practice at my school.

Our school recently started an after school recreational math club for kids in grades K-5. We use the materials from the first two articles cited above generated by Bedtime Math. The first activity actually had to do with tessellations (as referenced in Scott’s article). Below are some pictures of the kids playing math using glow sticks to make glow-in-the-dark tessellations:

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It has been exciting to hang out with the younger kids and play math. We have even involved our high school Mu Alpha Theta students as volunteers to further show the younger kids that even the older kids can still find this fun. Every activity also has follow up questions to help extend students’ curiosity to deeper levels of mathematical insight.

Everything we do in math club is meant to show how much fun math can be. Our hope is that all of our recreational math activities will instill in these kids an abiding affection for math.

Go play math and enjoy!

My Dissertation Proposal Defense

proposal defense flier

For those who are interested, I will be defending my dissertation proposal in a few weeks (I guess even if you aren’t interested I will still be defending in a few weeks). In brief I will be examining how service-learning in high school mathematics might serve as a vehicle for instilling in students what is often discussed as simply an abstract notion: getting students to habitually appreciate the truth, beauty, and goodness of mathematics.

For those who are REALLY interested, here is a copy of my submitted proposal.

Cultivating Mathematical Affections: The Influence of Christian Faith on Mathematics Pedagogy

Here is some information on my talk at the 20th ACMS Conference (2015) at Redeemer University College. More information can be found in my article of the same title in the June 2015 issue of Perspectives of Science and Christian Faith:

Abstract:

The goal of this paper is to make the case that Christian faith has an opportunity to impact the discussion on best practices in mathematics not primarily through the cognitive discussion on objectives and standards, but through the affective discussion on the formation of values, the cultivation of mathematical affections – not merely knowing, but also loving, and practicing the truth, beauty, and goodness inherent in mathematics.

First I will outline the work being done on affect in mathematics education, examining what values are actually endorsed by the community of mathematics educators. After summarizing this work on affect it will be clear that, even in the words of leading researchers, the field is lacking any cohesive, formal approach to analyzing and assessing the affective domain of learning. In part two of this paper I will argue the thesis that Christian faith offers solutions to the frustrations and shortcomings admitted by researchers on affect in mathematics education. Christian faith offers insight into how mathematical affections might actually be shaped. Here I will draw heavily on the work of philosopher James K.A. Smith and make explicit connection between his work and the mathematics classroom. Finally, I will conclude with a call to action discussing how we as Christian educators might begin to have fruitful contributions to and dialogue with the current research being done in mathematics education.

PowerPoint:

ACMS Cultivating affections

Outline:

PDF of talking points outline

References:

Goldin, G.A. (2002). Affect, meta-affect, and mathematical belief structures. In G.C. Leder, E. Pehkonen, & G. Törner (Eds.),  Beliefs: a hidden variable in mathematics education? Netherlands: Kluwer Academic Publishers, pp. 59-72.

Hadlock, C. R. (2005). Mathematics in service to the community: Concepts and models for service-learning in the mathematical sciences (No. 66). Mathematical Association of America.

Krathwohl, D.R., Bloom, B.S., & Masia, B.B. (1964). Taxonomy of educational objectives: Handbook II. Affective Domain. New York: Longman.

McLeod, D.B. (1992). Research on affect in mathematics education: A reconceptualization. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 575-596). New York: Macmillan.

National Council of Teachers of Mathematics. (1991). Standards for teaching mathematics. Reston, VA: NCTM.

National Council of Teachers of Mathematics. (1995). Mathematics Assessment Standards. Reston, VA: NCTM.

National Research Council (2001). Adding it up: Helping children learn mathematics. Washington D.C.: National Academy Press.

Smith, J.K.A. (2009). Desiring the kingdom: Worship, worldview, and cultural formation. Grand Rapids, MI: Baker Academic.

Veatch, M. (2001). Mathematics and values. In R. Howell & J. Bradley (Eds.), Mathematics in a Postmodern Age: A Christian Perspective. GrandRapids: Eerdmans, pp.223-249.

Zan, R., Brown, L., Evans, J., & Hannula, M.S. (2006). Affect in mathematics education: An introduction. Educational Studies in Mathematics (Affect in Mathematics Education: Exploring Theoretical Frameworks: A PME Special Issue), 63:2, 113-121.