Mathematics teacher education programs in the United States are charged with preparing prospective secondary teachers (PSTs) to teach reasoning and proving across grade levels and mathematical topics. Although most programs require a course on proof, PSTs often perceive it as disconnected from their future classroom practice. Our design research…

With the increasing attention and surge of empirical research in providing academic instruction for students with autism spectrum disorder (ASD) comes the need to provide teachers with research-supported strategies. Using one evidence-based strategy for teaching mathematics to students with high incidence disabilities, and another for teaching…

Aim/Purpose: To identify and rectify the learning difficulties of online learners. Background: The major cause of learners' failure and non-acquisition of knowledge relates to their weaknesses in certain areas necessary for optimal learning. We focus on e-learning because, within this environment, the learner is mostly affected by these…

Model-Driven Engineering (MDE) is changing the way we build, operate, and maintain our software-intensive systems. Several projects using MDE practices are reporting significant improvements in quality and performance but, to be able to handle these projects, software engineers need a set of technical and interpersonal skills that are currently…

This paper is structured in two sections. The first examines views of mathematical abstraction in two broad categories: empiricist and dialectical accounts. It documents the difficulties involved in and explores the potentialities of both accounts. Then it outlines a recent model which takes a dialectical materialist approach to abstraction in…

Science and social studies teachers can use these sample learning activities to teach reasoning skills in grades 5-9. The publication was developed by a group which provides information and assistance to Vermont educators of science and social studies in the fifth through the ninth grades with a focus on the teaching and learning of reasoning…

Presents a theoretical model that attempts to lessen the fragmentation of skill instruction in social studies. The model uses reasoning as a goal toward which social studies instruction can move. Curriculum implications relative to skill coordination are discussed. (Author/DB)

Studies concerned with the synchronous emergence prediction of Piaget's structures-of-the-whole principle are discussed in conjunction with three groups of concrete-operational skills: (1) transitivity/conservation/class inclusion; (2) double classification/double seriation; and (3) ordinal, cardinal, and natural number concepts. Findings show…

A model for teaching proof writing to college mathematics students is presented. The model has six phases: (1) open (understanding the theorem by reading it, listing, and writing it out); (2) brainstorm; (3) instantiate (perception of the chain of inferences linking hypothesis to conclusion); (4) convince; (5) reflect; and (6) extend. Strategies…