Designing Instructional Sequences for Ethical, Critical and Mathematical Reasoning

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Bibliographic Details
Title: Designing Instructional Sequences for Ethical, Critical and Mathematical Reasoning
Language: English
Authors: Reinke, Luke T., Register, Jordan T., Stephan, Michelle
Source: North American Chapter of the International Group for the Psychology of Mathematics Education. 2022 (pter).
Availability: North American Chapter of the International Group for the Psychology of Mathematics Education. e-mail: pmena.steeringcommittee@gmail.com; Web site: http://www.pmena.org/
Peer Reviewed: Y
Page Count: 10
Publication Date: 2022
Document Type: Speeches/Meeting Papers
Reports - Research
Education Level: Junior High Schools
Middle Schools
Secondary Education
Descriptors: Instructional Design, Mathematics Instruction, Ethics, Critical Thinking, Heuristics, Learning Trajectories, Mathematics Education, Thinking Skills, Statistics Education, Social Justice, Charter Schools, Middle School Students, Teaching Methods
Abstract: Designers of critical mathematics instruction have documented difficulties in simultaneously fostering the development of critical consciousness while supporting students in developing understandings of new mathematics. However, confining justice-oriented tasks to applications of previously learned mathematics limits the degree to which these tasks will be taken up by teachers. We describe our attempt to employ heuristics from the instructional design theory of realistic mathematics education [RME] to create a sequence aimed at developing students' critical and ethical reasoning while also developing new mathematical understandings of ratio, proportion and percents. We propose emergent adaptations to two of the realistic mathematics education design principles then propose an additional ethical principle to guide the development of future RME sequences. [For the complete proceedings, see ED630210.]
Abstractor: As Provided
Entry Date: 2023
Accession Number: ED630314
Database: ERIC
Description
Abstract:Designers of critical mathematics instruction have documented difficulties in simultaneously fostering the development of critical consciousness while supporting students in developing understandings of new mathematics. However, confining justice-oriented tasks to applications of previously learned mathematics limits the degree to which these tasks will be taken up by teachers. We describe our attempt to employ heuristics from the instructional design theory of realistic mathematics education [RME] to create a sequence aimed at developing students' critical and ethical reasoning while also developing new mathematical understandings of ratio, proportion and percents. We propose emergent adaptations to two of the realistic mathematics education design principles then propose an additional ethical principle to guide the development of future RME sequences. [For the complete proceedings, see ED630210.]