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Muckridge, Nicole A. – ProQuest LLC, 2017
The purpose of this study was to examine adult developmental mathematics (ADM) students' knowledge of fraction addition and subtraction as it relates to their demonstrated fraction schemes and ability to disembed in multiplicative contexts with whole numbers. The study was conducted using a mixed methods sequential explanatory design. In the first…
Descriptors: Adult Learning, Developmental Studies Programs, Mathematics Education, Knowledge Level
Dubinsky, Ed; Arnon, Ilana; Weller, Kirk – Canadian Journal of Science, Mathematics and Technology Education, 2013
In this article, we obtain a genetic decomposition of students' progress in developing an understanding of the decimal 0.9 and its relation to 1. The genetic decomposition appears to be valid for a high percentage of the study participants and suggests the possibility of a new stage in APOS Theory that would be the first substantial change in…
Descriptors: Preservice Teachers, Numbers, Arithmetic, Knowledge Level
Girit, Dilek; Akyuz, Didem – International Journal of Education in Mathematics, Science and Technology, 2016
Studies reveal that students as well as teachers have difficulties in understanding and learning of decimals. The purpose of this study is to investigate students' as well as pre-service teachers' solution strategies when solving a question that involves an estimation task for the value of a decimal number on the number line. We also examined the…
Descriptors: Preservice Teachers, Middle School Teachers, Mathematics Teachers, Student Teacher Attitudes
Wilkerson, Trena L.; Cooper, Susan; Gupta, Dittika; Montgomery, Mark; Mechell, Sara; Arterbury, Kristin; Moore, Sherrie; Baker, Betty Ruth; Sharp, Pat T. – Journal of Research in Childhood Education, 2015
This study examines the effect varying models have on student understanding of fractions. The study addressed the question of what students know and understand about fractional concepts through the use of discrete and continuous models. A sample of 54 students in kindergarten and 3rd grade were given an interview pretest, participated in…
Descriptors: Investigations, Mathematics, Mathematical Models, Elementary School Mathematics
Eriksson, Gota – Journal of Mathematical Behavior, 2011
This article describes a way toward a student-centred process of teaching arithmetic, where the content is harmonized with the students' conceptual levels. At school start, one classroom teacher is guided in recurrent teaching development meetings in order to develop teaching based on the students' prerequisites and to successively learn the…
Descriptors: Arithmetic, Teaching Methods, Mathematics Instruction, Interviews
Alexander, Cathleen Marie – ProQuest LLC, 2013
Mathematics, in general, and algebra courses, in particular, have been categorized as "gatekeepers" for higher education, better jobs, and even citizenship. For many low-income and working adults, community college is the institution where they choose to develop their mathematics understanding so they can pursue their dreams.…
Descriptors: Adult Students, Two Year College Students, Community Colleges, Developmental Studies Programs
Izsak, Andrew; Orrill, Chandra Hawley; Cohen, Allan S.; Brown, Rachael Eriksen – Elementary School Journal, 2010
We report the development of a multiple-choice instrument that measures the mathematical knowledge needed for teaching arithmetic with fractions, decimals, and proportions. In particular, the instrument emphasizes the knowledge needed to reason about such arithmetic when numbers are embedded in problem situations. We administered our instrument to…
Descriptors: Mathematics Instruction, Numbers, Arithmetic, Interviews
Zazkis, Rina; Campbell, Stephen – 1994
This study contributes to a growing body of research on the development of elementary teacher's content knowledge of mathematics. Individual clinical interviews were conducted with preservice elementary teachers (N=21) enrolled in a professional development course called "Foundations of Mathematics for Teachers." An instrument that…
Descriptors: Abstract Reasoning, Arithmetic, Concept Formation, Constructivism (Learning)

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