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Direct linkWares, Arsalan; Custer, David – Mathematics Teacher: Learning and Teaching PK-12, 2023
Generalizing, conjecturing, representing, justifying, and refuting are integral parts of algebraic thinking and mathematical thinking in general (Lannin et al., 2011). The activity described in this article makes a case for generalizing as an overall mindset for any introductory algebra or geometry class by illustrating how generalization problems…
Descriptors: Mathematical Logic, Geometry, Algebra, Spatial Ability
Gabriel Matney; Julia Porcella; Shannon Gladieux – Mathematics Teacher: Learning and Teaching PK-12, 2020
This article shares the importance of giving K-12 students opportunities to develop spatial sense. We explain how we designed Quick Blocks as an activity to engage our students in both spatial reasoning and number sense. Several examples of students thinking are shared as well as a classroom dialogue.
Descriptors: Mathematics Instruction, Spatial Ability, Learning Activities, Manipulative Materials
Coleman, Thomas D.; Walkoe, Janet D. K. – Mathematics Teacher: Learning and Teaching PK-12, 2020
The use of digital technologies (calculators, computers, simulations, etc.) is recommended for teaching and learning mathematics (NCTM 2000; NGA Center and CCSSO 2010). Given these recommendations, technology has been increasingly integrated into the mathematics classroom for decades. The authors began asking themselves about the nature of…
Descriptors: Educational Technology, Technology Uses in Education, Mathematics Instruction, Teaching Methods
DeLeeuw, William; Otten, Samuel; Dundar, Ruveyda Karaman – Mathematics Teacher: Learning and Teaching PK-12, 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…
Descriptors: Mathematics Instruction, Common Core State Standards, Thinking Skills, Teaching Methods
