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Dibbs, Rebecca; Lewis, Kelly; Moon, Jennifer; Steward, Rebecca – The Mathematics Educator, 2023

Implementing an equity agenda in the classroom is both necessary and challenging for classes containing pre-service teachers. For this intervention, we chose to begin our History of Mathematics course for preservice middle school teachers with a cultural simulation training exercise: Bafa Bafa. After participating in the exercise, pre-service…

Descriptors: Preservice Teachers, Student Experience, Aggression, Equal Education

Babb, Armando Paulino Preciado; Aljarrah, Ayman – The Mathematics Educator, 2023

In this paper, we present a qualitative case study on an online graduate program for practicing teachers and educators that explores contemporary mathematics and its integration into K to 12 education. Data for the study comprised students' work in the courses, student feedback, and notes from instructor debriefings for two cohorts of the program.…

Descriptors: Online Courses, Mathematics Instruction, Teacher Education, Graduate Students

He, Jia; An, Tuyin – The Mathematics Educator, 2023

This study examined opportunities provided for preservice secondary mathematics teachers (PSMTs) to learn reasoning and proof in algebra from the perspective of college instructors. We analyzed interview transcripts of 15 course instructors recruited from three teacher education programs in the United States. We examined the reported opportunities…

Descriptors: Preservice Teachers, Secondary School Teachers, Mathematics Teachers, Mathematical Logic

Palmér, Hanna; van Bommel, Jorryt – The Mathematics Educator, 2023

The empirical data in this study are from a series of two lessons on measurement implemented in seven classes with 119 six-year-old students in Sweden. Both problem solving and problem posing were shown to be important in early mathematics when students in this study worked on one problem-solving task and one problem-posing task on measurement. As…

Descriptors: Problem Solving, Mathematics Instruction, Measurement, Young Children

Tallman, Michael A. – The Mathematics Educator, 2023

In this theoretical paper, I review the history of research in educational psychology that inspired Shulman's notion of pedagogical content knowledge (PCK) and I critically examine interpretations of PCK reflected in prominent theoretical frameworks for mathematical knowledge for teaching (MKT). I propose a theory of PCK--grounded in radical…

Descriptors: Educational Psychology, Pedagogical Content Knowledge, Educational Research, Mathematics Instruction

Lewis, Jennifer M.; Özgün-Koca, S. Asli; Hernandez, Lenuel; Nazelli, Christopher; French, Kate R. – The Mathematics Educator, 2022

Does the choice of observation instrument make a difference in the feedback and ratings that teachers receive? This study explores how lessons are rated differentially across various observation instruments. To investigate this question, ten randomly selected mathematics lessons were rated using six different observation instruments. Overall…

Descriptors: Observation, Evaluation Methods, Feedback (Response), Scores

Sapkota, Bima – The Mathematics Educator, 2022

This study reports how 12 secondary mathematics preservice teachers (MPSTs) described characteristics of mathematical tasks after participating in instructional activities, including reading, reflecting, and discussing task characteristics from two mathematics task frameworks and related book chapters. The findings demonstrated that after engaging…

Descriptors: Preservice Teachers, Student Attitudes, Task Analysis, Prior Learning

Tyminski, Andrew M.; Brittain, McKenzie – The Mathematics Educator, 2022

This paper presents research that exists at the crossroad of scholarly practice and scholarly inquiry. We outline the process in the design, enactment, and empirical examination of an elementary methods course activity, Exploring and Supporting Student Thinking (ESST), which engaged 18 elementary prospective teachers (PTs) in two sessions of…

Descriptors: Elementary School Mathematics, Methods Courses, Preservice Teachers, Elementary School Teachers

An, Tuyin; Clark, Daniel L.; Lee, Hwa Young; Miller, Emily K.; Weiland, Travis – The Mathematics Educator, 2021

Prospective elementary teacher (PSET) education programs vary greatly in the courses and course sequences employed to prepare their students. This article explores potential tradeoffs that arise for mathematics teacher educators, PSETs, and their future students due to the choices PSET education programs make regarding their design. Specifically,…

Descriptors: Mathematics Instruction, Elementary School Teachers, Preservice Teacher Education, Program Design

Graif, Foster; Baldinger, Erin E.; Campbell, Matthew P. – The Mathematics Educator, 2021

Responding to student errors is a complex practice that connects teachers' vision and goals around students, mathematics, and teaching. We explore teacher candidates' (TCs) reflections on responding to errors during rehearsals of whole-class discussion to gain insight into the vision and goals that might influence their thinking. We discuss five…

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

Callis, Laura Kyser; Harbaugh, Allen G. – The Mathematics Educator, 2021

This article reports on a national survey of post-secondary mathematics instructors (n = 458) of mathematics courses designed for elementary teachers. The article links the use of various instructional practices to instructor characteristics. Specifically, there were statistically significant differences in reported use of class time depending on…

Descriptors: Teacher Education, Mathematics Teachers, Elementary School Teachers, Methods Courses

Kartal, Ozgul; Morrissey, Susie; Popovic, Gorjana – The Mathematics Educator, 2020

According to the Association of Mathematics Teacher Educators (AMTE, 2017), teachers should first try to see problems through their students' eyes, anticipate, understand, and analyze students' varied ways of thinking, and respond appropriately. In this study, we engaged preservice teachers (PTs) in planning to implement problem-solving tasks;…

Descriptors: Elementary School Teachers, Preservice Teachers, Problem Solving, Intervention

Kuzle, Ana; Glasnovic Gracin, Dubravka – The Mathematics Educator, 2020

For many decades, the amount of geometry curriculum worldwide has been cut, mathematics curricula have lacked diversity of geometrical phenomena, and geometry teaching has been reduced to a somewhat eclectic mix of activities. Recently, new trends have begun to counteract these tendencies by framing new curricula around fundamental ideas. The…

Descriptors: Geometry, Mathematics Instruction, Mathematics Curriculum, Freehand Drawing

Liang, Biyao; Castillo-Garsow, Carlos – The Mathematics Educator, 2020

Contributing to research on students' multifaceted meanings for angles (e.g., angles as ray pairs, as regions, and as turns), we report on three undergraduate students' meanings for central and inscribed angles in circles. Specifically, we characterize how these meanings govern their mathematical activities when engaging in a circle geometry task,…

Descriptors: Mathematics Instruction, Undergraduate Students, Concept Formation, Geometric Concepts

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