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Direct linkJenna Marks; Deena Bernett; Catherine C. Chase – International Journal of Designs for Learning, 2016
This design case describes the development of the Invention Coach, an intelligent exploratory learning environment (ELE) for the constructivist activity of Invention. The Invention Coach scaffolds students as they invent mathematical formulas to describe contrasting cases. In this paper, we detail our process and rationale for three key design…
Descriptors: Intelligent Tutoring Systems, Constructivism (Learning), Mathematics Instruction, Scaffolding (Teaching Technique)
Okumus, Samet – ProQuest LLC, 2016
According to the National Council of Teacher of Mathematics (NCTM) (2000), K-12 students should be given an opportunity to develop their spatial reasoning abilities. One of the topics that may allow students to develop their spatial skills is forming 3-dimensional objects using spinning and extrusion methods. Also, extrusion and spinning methods…
Descriptors: Middle School Students, Abstract Reasoning, Spatial Ability, Geometric Concepts
Download full textPalatnik, Alik; Koichu, Boris – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
The goal of the study was to reconstruct and dismantle a sequence of events that preceded an insight solution to a challenging problem by a ninth-grade student. A three-week long solution process was analysed by means of the theory of shifts of attention. We argue that concurrent focusing on what, how and why the student attends to when working on…
Descriptors: Grade 9, Mathematics Instruction, Teaching Methods, Problem Solving
