ERIC Number: EJ1290046
Record Type: Journal
Publication Date: 2021-Mar
Pages: 9
Abstractor: ERIC
ISBN: N/A
ISSN: ISSN-0025-5769
EISSN: N/A
Available Date: N/A
Structuring Boardspace to Facilitate Repeated Reasoning
DeLeeuw, William; Otten, Samuel; Dundar, Ruveyda Karaman
Mathematics Teacher: Learning and Teaching PK-12, v114 n3 p196-204 Mar 2021
Two of the Standards for Mathematical Practice (SMP) in the Common Core State Standards for Mathematics (CCSSM; NGA Center and CCSSO 2010), "Look for and use structure" (SMP 7) and "Look for and express regularity in repeated reasoning" (SMP 8), are particularly abstract and sometimes clear only in the mind. For a given mathematical topic, some students may perceive the structure or regularity, whereas others do not yet "get it." It is a teacher's job to help students notice and analyze the structure and patterns in mathematical entities, and they must also be able to express them through mathematical statements or visual representations. These two practices, though challenging, can be mutually supportive because students may notice patterns first and express regularity in repeated reasoning later. This article discusses how the planful use of boardspace can help move the structure and regularity to the visual realm and thus make it more readily perceivable by more students. Although the authors recognize that different types of boards (e.g., whiteboards, blackboards, SMART boards™, poster paper, etc.) vary in their specific advantages and disadvantages, they refer to their general purpose as a mode of visual display accessible by the whole class. They discuss some of the purposes of board use and illustrate these ideas with two examples of lessons in which the planful use of boardspace provided students with the opportunity to see the mathematical structure and regularity.
Descriptors: Mathematics Instruction, Common Core State Standards, Thinking Skills, Teaching Methods, Mathematical Concepts, Visual Aids, Educational Technology, Grade 6, Geometry, Teacher Student Relationship, Lesson Plans, Instructional Effectiveness, Concept Formation, Geometric Concepts
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191. Tel: 800-235-7566; Tel: 703-620-9840; Fax: 703-476-2570; e-mail: nctm@nctm.org; Web site: https://pubs.nctm.org/
Publication Type: Journal Articles; Reports - Evaluative
Education Level: Elementary Education; Grade 6; Intermediate Grades; Middle Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A