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ERIC Number: EJ1229213
Record Type: Journal
Publication Date: 2019
Pages: 28
Abstractor: As Provided
ISSN: ISSN-2301-251X
The Integral as Accumulation Function Approach: A Proposal of a Learning Sequence for Collaborative Reasoning
Palha, Sonia; Spandaw, Jeroen
European Journal of Science and Mathematics Education, v7 n3 p109-136 2019
Learning mathematical thinking and reasoning is a main goal in mathematical education. Instructional tasks have an important role in fostering this learning. We introduce a learning sequence to approach the topic of integrals in secondary education to support students mathematical reasoning while participating in collaborative dialogue about the integral-as-accumulation-function. This is based on the notion of accumulation in general and the notion of accumulative distance function in particular. Through a case-study methodology we investigate how this approach elicits 11th grade students' mathematical thinking and reasoning. The results show that the integral-as-accumulation-function has potential, since the notions of accumulation and accumulative function can provide a strong intuition for mathematical reasoning and engage students in mathematical dialogue. Implications of these results for task design and further research are discussed.
European Journal of Science and Mathematics Education. Eastern Mediterranean University, Farnagusta, TRNC, Mersin 10, Turkey. e-mail:; Web site:
Publication Type: Journal Articles; Reports - Research
Education Level: Secondary Education; Grade 11; High Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A