Inquiry-Based Learning and the Art of Mathematical Discourse
von Renesse C.; Ecke V.
2015
PRIMUS
7
10.1080/10511970.2014.921799
Abstract: Our particular flavor of inquiry-based learning (IBL) uses mathematical discourse, conversations, and discussions to empower students to deepen their mathematical thinking, building on strengths of students in the humanities. We present an organized catalog of powerful questions, discussion prompts, and talk moves that can help faculty facilitate a classroom focused on mathematical discourse. The paper brings this discourse alive through classroom vignettes and explores various teacher moves and their impacts. The mathematical theme of the classroom investigations, Maypole dance patterns, stems from the learning guide “Discovering the Art of Mathematics: Dance.” Both authors are part of the NSF-funded project “Discovering the Art of Mathematics,” which provides IBL materials for mathematics for liberal arts courses, see www.artofmathematics.org. © , Copyright © Taylor & Francis Group, LLC.
discovering the art of mathematics; Inquiry-based learning; mathematical discourse; mathematics and dance; mathematics for liberal arts; maypole dancing
Bronowski J., Science and Human Values, (1956); (2009); Freudenthal H., Revisiting Mathematics Education, (1991); Glasser H., Block M., Notching up the Nurtured Heart Approach - The new Inner Wealth Initiative for Educators, (2011); Hadamard J.S., Thoughts on the heuristic method, Musings of the Masters, pp. 31-43, (2004); Koestler A., The Act of Creation, (1966); Lakatos I., Proofs and Refutations: The Logic of Mathematical Discovery, (1976); Moise E.E., Activity and motivation in mathematics, American Mathematical Monthly., 72, 4, pp. 407-412, (1965); Polya G., How to Solve It, (1957); Stenmark J., Assessment Alternatives in Mathematics: An Overview of Assessment Techniques That Promote Learning, (1989); Vygotsky L.S., Mind and Society, (1978); Young J.W.A., The Teaching of Mathematics in the Elementary and Secondary School, (1906)
Bellwether Publishing, Ltd.
Article
Scopus