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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

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

Kastberg, Signe E.; Tyminski, Andrew M.; Sanchez, Wendy B. – The Mathematics Educator, 2017

Calls have been made for the creation of a shared knowledge base in mathematics teacher education with the power to inform the design of scholarly inquiry and mathematics teacher educators' (MTEs) scholarly practices. Focusing on mathematics methods courses, we summarize and contribute to literature documenting activities MTEs use in mathematics…

Descriptors: Methods Courses, Mathematics Teachers, Teacher Educators, Educational Practices

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

Otálora, Yenny – The Mathematics Educator, 2016

In this article, I (a) illustrate how the K-2 CCSSM reflect the major findings from research studies carried out over the last 30 years on early mathematical abilities that indicate these standards are developmentally appropriate for young children, and (b) offer insights into some types of instructional strategies (e.g., student-centered…

Descriptors: Developmentally Appropriate Practices, Common Core State Standards, Elementary School Mathematics, Young Children

Nanna, Robert J. – The Mathematics Educator, 2016

Algorithms and representations have been an important aspect of the work of mathematics, especially for understanding concepts and communicating ideas about concepts and mathematical relationships. They have played a key role in various mathematics standards documents, including the Common Core State Standards for Mathematics. However, there have…

Descriptors: Mathematics, Common Core State Standards, Mathematics Instruction, Mathematical Concepts

Kamin, David C. – The Mathematics Educator, 2016

The Common Core State Standards were created with college and career readiness in mind to help prepare students to succeed upon graduation from high school. In this article, I examine college readiness as it has been described by both university mathematicians and educational researchers to precisely discern what will foster success in collegiate…

Descriptors: Common Core State Standards, Mathematics Instruction, College Readiness, College Mathematics

Orrill, Chandra Hawley – The Mathematics Educator, 2016

Suppose you were an alien trying to understand how people in the United States feel about the Common Core School Standards for Mathematics (CCSSM). You could look at the Internet, mass media, YouTube and all of the other venues available. Walking away from them, you would be very confused about whether the U.S. loves or hates the CCSSM, whether…

Descriptors: Common Core State Standards, Mathematics, Educational Change, Modern Mathematics

Wagner, Patty Anne – The Mathematics Educator, 2016

In this commentary, Wagner points out that the Common Core State Standards for Mathematics (CCSSM) has fueled strong reactions on either end of the spectrum, compelling its supporters and critics to argue their positions. Naturally neither side have interest in entertaining the arguments of the other. Wagner claims, however, that you develop the…

Descriptors: Common Core State Standards, Educational Change, Conflict, Mathematics Education