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Bowers, Janet; Smith, Wendy; Ren, Lixin; Hanna, Robert – Investigations in Mathematics Learning, 2019

The need to incorporate active learning (AL) in higher education has become a prominent issue discussed by major leadership organizations such as the Conference Board of Mathematical Sciences (CBMS, 2016). These calls for AL are based on a large and growing body of research documenting the correlation between AL use and reduced failure rates,…

Descriptors: Active Learning, Calculus, College Mathematics, Mathematics Instruction

Shih, Jeffrey C.; Reys, Robert E.; Reys, Barbara J.; Engledowl, Christopher – Investigations in Mathematics Learning, 2019

This landmark study of doctoral graduates in mathematics education provides benchmark data that we hope will be useful to the mathematics education community. Five hundred three doctoral graduates from twenty-three institutions participated in the study with a response rate of over 90 percent. This article focuses on doctoral graduate satisfaction…

Descriptors: Mathematics Education, Doctoral Programs, Graduate Students, Doctoral Degrees

Wilhelm, Anne Garrison; Berebitsky, Dan – Investigations in Mathematics Learning, 2019

Teachers' self-efficacy has been measured a number of ways and linked to important outcomes including teacher satisfaction, goals for students, and student achievement. However, most of these existing measures are intentionally general in their design. Given the importance of context, researchers have begun to construct more domain-specific…

Descriptors: Mathematics Instruction, Mathematics Teachers, Self Efficacy, Teacher Attitudes

Kurz, Terri L.; Yanik, H. Bahadir – Investigations in Mathematics Learning, 2019

Elementary pre-service teachers in an upper-division algebra mathematics content course explored graphing through the use of Calculator-Based Rangers™ (CBRs). This study explores how they used the "Distance Match" feature of the technology to engage in algebraic thinking. Operating CBR technology, pre-service teachers' perceptions…

Descriptors: Elementary School Teachers, Preservice Teachers, Algebra, Mathematics Instruction

Riehl, Suzanne M.; Steinthorsdottir, Olof B. – Investigations in Mathematics Learning, 2019

This study explores the effects of number structure characteristics on student thinking in solving missing-value proportion problems. Prior research has documented that the presence of an integer ratio is beneficial, particularly if the integer relationship is within the same measure space. Less information on student performance is available,…

Descriptors: Problem Solving, Mathematical Concepts, Numbers, Mathematics Instruction

Bostic, Jonathan D.; Matney, Gabriel T.; Sondergeld, Toni A. – Investigations in Mathematics Learning, 2019

The Standards for Mathematical Practice (SMPs) describe mathematical behaviors and habits that students should express during mathematics instruction. Thus teachers should promote them during classroom-based mathematics instruction. The purpose of this article is to discuss the validation process for an observation protocol called the…

Descriptors: Standards, Mathematics Instruction, Teaching Methods, Mathematics Teachers

Wasserman, Nicholas H.; Galarza, Patrick – Investigations in Mathematics Learning, 2019

Combination problems are a cornerstone of combinatorics courses, but little research has been done examining the ways that students perceive and differentiate among different combination problems. In this article, we investigate how mathematics education students (n = 18) in a discrete mathematics course view two categorically different…

Descriptors: Outcomes of Education, Computation, Problem Solving, Mathematical Concepts

Ketterlin-Geller, Leanne R.; Shivraj, Pooja; Basaraba, Deni; Schielack, Jane – Investigations in Mathematics Learning, 2019

Within a multi-tier system of support (MTSS), results from universal screeners help teachers make instructional decisions early in the learning process to prevent and remediate skill gaps. Universal screeners help teachers determine students' need for and intensity of additional instructional support to reach their learning goals by efficiently…

Descriptors: Middle School Students, Readiness, Algebra, Screening Tests

Chamberlin, Michelle T. – Investigations in Mathematics Learning, 2019

Too often, students are merely consumers of mathematics, without many opportunities to engage in authentic processes of doing mathematics. As a mathematics teacher educator, I decided to provide more opportunities for my prospective teachers (PSTs) to do so. In my mathematics class for elementary education majors, the PSTs worked on two…

Descriptors: Mathematics Instruction, Preservice Teachers, Student Attitudes, Elementary Education

Cason, Marti; Young, Jamaal; Kuehnert, Eloise – Investigations in Mathematics Learning, 2019

This meta-analysis examines the effects of numerical competency development in mathematics classrooms. An exhaustive search of the quantitative literature yielded 17 studies with 39 effect sizes. The overall mean effect size, d = 0.88 (p < 0.05), indicates that there is a large positive summary effect of numerical competency development on…

Descriptors: Meta Analysis, Numeracy, Mathematics Instruction, Mathematics Achievement

Barnett, Eli; Ding, Meixia – Investigations in Mathematics Learning, 2019

In this study we investigate the teaching of the associative property in a natural classroom setting through observation of classroom video of several elementary math classes in a large urban school district. Findings indicate that the associative property was often conflated with the commutative property during teaching. The role of the…

Descriptors: Mathematics Instruction, Algebra, School Districts, Elementary School Mathematics

Tackie, Nii Ansah; Sheppard, Peter; Flint, Tori K. – Investigations in Mathematics Learning, 2019

Prior to leaving middle school, students are expected to be able to solve linear equations with one unknown using multiple modes of representation, including pictorial models. Although solving these linear equations is important, many students do not have the conceptual understanding to solve these types of linear equations successfully. In this…

Descriptors: Algebra, Equations (Mathematics), Mathematics Skills, Middle School Students

Raymond, Kate Meredith – Investigations in Mathematics Learning, 2019

Research has documented that mathematics teachers rarely use communicative activities; activities that allow for the sharing of ideas and clarification of understandings (NCTM, 2000). Teacher metacognitive awareness provides a possible framework for understanding the difficulties secondary mathematics teachers face when attempting to incorporate…

Descriptors: Beginning Teachers, Secondary School Teachers, Mathematics Teachers, Metacognition

Cramer, Kathleen; Monson, Debra; Ahrendt, Susan; Wyberg, Terry; Pettis, Christy; Fagerlund, Chelsey – Investigations in Mathematics Learning, 2019

This paper shares how fourth grade students solved a unique type of number line task. Instead of giving students the unit and asking them to locate a fraction on the number line, students were given two points on the number line and asked to either find 1, or another number on the number line. This type of task is called "reconstructing the…

Descriptors: Grade 4, Fractions, Numbers, Elementary School Mathematics

Case, Catherine; Battles, Melanie; Jacobbe, Tim – Investigations in Mathematics Learning, 2019

The study presented in this article examined the impact of two simulation-based inference activities on students' understanding of p-values in a second undergraduate statistics course. In the study, students familiar with traditional inference methods used physical and computer simulations to estimate p-values. To examine students' conceptions…

Descriptors: Probability, Computer Simulation, Statistics, Mathematics Instruction