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Science and Mathematics Education

University of Massachusetts Amherst

Mathematics

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Full-Text Articles in Education

Examining Small-Group Discourse Through The Lens Of Students’ Beliefs About Mathematics And The Instructional Triangle, Jennifer Ericson Mar 2022

Examining Small-Group Discourse Through The Lens Of Students’ Beliefs About Mathematics And The Instructional Triangle, Jennifer Ericson

Doctoral Dissertations

Standards-based mathematics instruction [SBMI], with opportunities to engage in high-quality mathematical discourse about meaningful tasks, leads to increased student achievement. However, not all students participate in mathematical discourse with high-quality. Esmonde & Langer-Osuna (2013) found that students participate in discourse with various degrees of engagement based upon individual beliefs. Boaler (2006b) found that SBMI in a detracked setting improves students’ beliefs about mathematics. The purpose of this descriptive case study was to illustrate the phenomenon of incongruent written curricula commitments across grade bands in a school district by examining small-group discourse and students’ mathematical related beliefs. This study compared students’ …


A Semiotic Analysis Of Linguistic And Conceptual Development In Mathematics For English Language Learners, Hyunsook Shin Jul 2019

A Semiotic Analysis Of Linguistic And Conceptual Development In Mathematics For English Language Learners, Hyunsook Shin

Doctoral Dissertations

This study explores how an elementary mathematics teacher supported English language leaners’ (ELLs’) academic language and concept development in the context of current high- stakes school reform. The conceptual frameworks informing this study include Halliday’s theory of systemic functional linguistics (e.g., Halliday & Matthiessen, 2014) and Vygotsky’s sociocultural theory of concept development (Vygotsky, 1986). Specifically, this study analyzes the interplay between academic and everyday language and how this interplay can facilitate the development of what Vygotsky referred to as “real” or complete concepts as students shift from “spontaneous” to more “scientific” understanding of phenomenon (Vygotsky, 1986, p.173). This year-long qualitative …


Research On Undergraduate Mathematics Education In Afghanistan: How Students Understand And Learn The Concept Of “Function”, Ahmad Khalid Mowahed Jan 2009

Research On Undergraduate Mathematics Education In Afghanistan: How Students Understand And Learn The Concept Of “Function”, Ahmad Khalid Mowahed

Master's Capstone Projects

The purpose of this study was to explore undergraduate students’ conception of the concept of function in the education faculty of Balkh University, Afghanistan. In particular, the focus was to see what difficulties they had in learning the concept and to determine those factors that impeded/facilitated the learning of the concept in the curriculum. The research methodology was an exploratory approach where both qualitative and quantitative methods were used to analyze the data. The theoretical basis for the study was David Tall’s theory which focuses on understanding one’s knowledge and learning. David Tall’s theory was used to analyze qualitative data …