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What Community College Developmental Mathematics Students Understand about

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The article was published on 2010-01-01 and is currently open access. It has received 148 citations till now.

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Citations
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Fractions: The New Frontier for Theories of Numerical Development.

TL;DR: The neural underpinnings of fraction understanding, developmental and individual differences in that understanding, and interventions that improve the understanding are examined.
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Concreteness Fading in Mathematics and Science Instruction: A Systematic Review.

TL;DR: Con- creteness fading as mentioned in this paper is a technique that helps learners interpret ambiguous or opaque abstract symbols in terms of well-understood concrete objects, providing embodied perceptual and physical experiences that can ground abstract thinking, and guiding learners to strip away extraneous concrete properties and distill the generic, generalizable properties.
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Math Anxiety: Past Research, Promising Interventions, and a New Interpretation Framework

TL;DR: In this paper, a review provides an over-view of mathematical anxiety in education that requires attention from both educators and researchers to help students reach their full academic potential, and provides an overview of the literature.
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Teaching the Conceptual Structure of Mathematics.

TL;DR: Givvin et al. as mentioned in this paper reviewed psychological and educational research to propose that refining K-12 classroom instruction such that students draw connections through relational comparisons may enhance their long-term ability to transfer and engage with mathematics as a meaningful system.
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Assessing Long-Term Effects of Inquiry-Based Learning: A Case Study from College Mathematics

TL;DR: This paper examined the impact of inquiry-based learning (IBL) in college mathematics on undergraduates' subsequent grades and course selection at two institutions and found that IBL had a significant impact on previously low-achieving students.
References
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Book

The Teaching Gap: Best Ideas from the World's Teachers for Improving Education in the Classroom

TL;DR: Stigler and Hiebert as discussed by the authors compared the teaching practices in Japan and Germany with those in the United States and found that American teachers are not incompetent, but the methods they use are severely limited, and American teaching has no system in place for getting better.
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Challenge and opportunity: rethinking the role and function of developmental education in community college

TL;DR: This article provided a national context about how students progress in community colleges across the country, including data about students who take developmental education courses, how they move through the developmental course sequence, the obstacles they face when completing their intended course of study, and programs and practices that appear to help students meet their goals.
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Does Understanding the Equal Sign Matter? Evidence from Solving Equations

TL;DR: In this paper, the authors focus on middle school students' understanding of the equal sign and its relation to performance solving algebraic equations and find that many students lack a sophisticated understanding of this concept and that their understanding is associated with performance on equation-solving items.