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Zwanch, Karen – The Mathematics Educator, 2019

The purpose of this research is to construct a preliminary genetic decomposition delineating the mental constructions underlying probabilistic independence. This delineation is considered within the framework of APOS theory. While the use of the term independence in probability is often conflated with causation, the definition relies instead upon…

Descriptors: Mathematics Instruction, Probability, Mathematical Concepts, Developmental Stages

Rhodes, Ginger; Hallman-Thrasher, Allyson; Schultz, Kyle T. – The Mathematics Educator, 2019

This article examines the professional vision of mathematics teacher developers during a professional development experience that featured observations of a content course for elementary teachers. The researchers examined whether these mathematics teacher developers viewed the demonstration class as an analysis class serving as a site for…

Descriptors: Mathematics Teachers, Teacher Educators, Preservice Teacher Education, Teacher Attitudes

Kuzle, Ana – The Mathematics Educator, 2019

Despite the important role that metacognition plays in school mathematics, attention has only recently turned to primary grades. The aim of this exploratory qualitative study was to find out to what extent 6 second graders engage in metacognitive behaviors during mathematics problem-solving. The analysis was based on the adaptation of the…

Descriptors: Grade 2, Metacognition, Problem Solving, Mathematics Instruction

Winsor, Matthew S.; Kirwan, J. Vince; Ssebaggala, Lawrence – The Mathematics Educator, 2018

The structures of secondary mathematics teacher preparation (SMTP) programs in the United States are not well documented. This study sought to identify baseline data for SMTP programs. Survey data was collected from 86 different institutions regarding their SMTP programs. Results indicated that most SMTP programs are housed in mathematics…

Descriptors: Secondary Education, Mathematics Instruction, Preservice Teachers, Mathematics Teachers

Tekin-Dede, Ayse; Bukova-Güzel, Esra – The Mathematics Educator, 2018

The purpose of this study was to introduce a rubric named "Rubric for the Assessment of Modeling Skills" for assessing cognitive modeling skills and explaining the rubric's development process. The dimensions of the rubric are understanding the problem, simplifying, mathematizing, working mathematically, interpreting and validating.…

Descriptors: Scoring Rubrics, Mathematics Instruction, Grade 6, Grade 11

Donaldson, Brianna; Nakamaye, Michael; Umland, Kristin; White, Diana – The Mathematics Educator, 2018

The Math Teachers' Circle (MTC) model is a widely implemented form of professional development that invites teachers to become practitioners of mathematics, thereby developing their fluency with mathematical practices. This article presents comparative case studies investigating the self-reported experiences of several MTC-participating teachers…

Descriptors: Teacher Effectiveness, Mathematics Teachers, Mathematics Instruction, Teacher Participation

Kosko, Karl W.; Singh, Rashmi – The Mathematics Educator, 2018

Multiplicative reasoning is essential for students' engagement with various mathematical concepts. Although the field's understanding of children's multiplicative concepts has grown over the past 30 years, relatively few studies have examined the development of multiplicative concepts with whole numbers, and even fewer have studied this phenomenon…

Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Multiplication

Norton, Anderson; Ulrich, Catherine; Bell, Martha Ann; Cate, Anthony – The Mathematics Educator, 2018

The emerging field of mathematics educational neuroscience provides researchers with new approaches to understanding mathematical development, as well mathematics itself. This paper focuses on the role of the hand in constructing mathematics through activity. We rely on Piaget's distinction of three kinds of activity: sensorimotor activity,…

Descriptors: Mathematics Instruction, Mathematics Activities, Neurosciences, Piagetian Theory

Thomas, Jonathan; Jong, Cindy; Fisher, Molly H.; Schack, Edna O. – The Mathematics Educator, 2017

For the past two decades, the development of preservice elementary teachers' mathematical knowledge and skills has been central to mathematics education research. Two frameworks that researchers have drawn upon to examine such development are mathematical knowledge for teaching and professional noticing (of children's mathematical thinking). We…

Descriptors: Pedagogical Content Knowledge, Preservice Teachers, Elementary Education, Mathematics Education

Sawyer, Amanda Gantt – The Mathematics Educator, 2017

I investigated a reform based teachers' beliefs about the nature of mathematics, teaching mathematics, and learning mathematics, and the factors leading to their formation. I interviewed and observed a reform-based elementary mathematics teacher with 13 years' experience teaching first grade. She held a Platonist/problem solver view of…

Descriptors: Elementary School Teachers, Mathematics Teachers, Teacher Attitudes, Beliefs

Harkness, Shelly Sheats; Brass, Amy – The Mathematics Educator, 2017

Mathematics methods textbooks/texts are important components of many courses for preservice teachers. Researchers should explore how these texts are selected and used. Within this paper we report the findings of a survey administered electronically to 132 members of the Association of Mathematics Teacher Educators (AMTE) in order to answer the…

Descriptors: Textbook Selection, Preservice Teacher Education, Teacher Educators, Teacher Surveys

Ntow, Forster D.; Covington Clarkson, Lesa M.; Chidthachack, Sousada; Crotty, Elizabeth A. – The Mathematics Educator, 2017

This paper draws on self-determination theory (SDT) to explore reasons for college students' decisions to either continue or change directions (and hence their persistence) from their STEM-intending majors. We therefore sought to gain insight into why some college students persisted in their STEM-intending degree programs while others, faced with…

Descriptors: Mathematics Instruction, College Mathematics, Academic Persistence, Self Determination

Meister, Tara – The Mathematics Educator, 2017

Propelled by Maxine Greene's (1988) continuum of freedom from normative structures to critical consciousness and action, I illuminate the institutional and individual influences on teacher development and action in mathematics teaching. I focus on the question: What barriers and openings, both individually and institutionally, spur teachers to…

Descriptors: Mathematics Instruction, Institutional Characteristics, Teacher Characteristics, Faculty Development

Huang, Rongjin; Prince, Kyle M.; Barlow, Angela T. – The Mathematics Educator, 2017

This study examined how a ninth grade teacher improved an Algebra I lesson through a lesson study approach. We used multiple data sources to investigate the improvement of the lesson towards student-centered mathematics instruction, perceived benefits of the teacher, and factors associated with the improvement of teaching. The lesson group…

Descriptors: Mathematics Instruction, Grade 9, Algebra, Communities of Practice

Herges, Rebecca M.; Duffield, Stacy; Martin, William; Wageman, Justin – The Mathematics Educator, 2017

Mathematics achievement among K-12 students has been a long-standing concern in schools across the United States. A possible solution to this mathematics achievement problem is student motivation. A survey was administered to 65 mathematics students at a Midwestern middle school to determine their beliefs and attitudes related to motivation and…

Descriptors: Middle School Students, Secondary School Mathematics, Student Surveys, Student Attitudes

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