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Melhuish, Kathleen; Thanheiser, Eva; Guyot, Layla – Journal of Mathematics Teacher Education, 2020

Justifying and generalizing are essential forms of mathematical reasoning, yet, teachers struggle both to produce and identify justifications and generalizations. In comparing elementary school teachers' self-reported levels of noticing justifying and generalizing in their own classrooms and the levels researchers observed in two consecutive…

Descriptors: Mathematical Logic, Mathematics Instruction, Generalization, Elementary School Teachers

Stevens, Alexis L.; Wilkins, Jesse L. M.; Lovin, LouAnn H.; Siegfried, John; Norton, Anderson; Busi, Richard – Journal of Mathematics Teacher Education, 2020

In a previous study, we validated the fractions schemes and operations trajectory (Norton and Wilkins 2012; Steffe in J Math Behav 20(3): 267-307, 2002; Steffe and Olive Children's fractional knowledge. Springer, New York, 2010; Wilkins and Norton 2011) with PreK-8 prospective teachers and explored PreK-8 prospective teachers' understanding of…

Descriptors: Preservice Teachers, Mathematics Instruction, Fractions, Teaching Methods

Jansen, Amanda; Gallivan, Heather R.; Miller, Emily – Journal of Mathematics Teacher Education, 2020

The purpose of this study is to investigate the impact of teacher education by examining instructional visions of graduates from a teacher education program, 2 or 3 years post-graduation. An instructional vision is a teacher's idealized image of teaching practice, encompassing aspirations and hopes of what could occur in her classroom. We…

Descriptors: Beginning Teachers, Graduates, Teacher Attitudes, Program Effectiveness

Estrella, Soledad; Zakaryan, Diana; Olfos, Raimundo; Espinoza, Gonzalo – Journal of Mathematics Teacher Education, 2020

Among the critical components related to the improvement of mathematics learning are the design of high cognitive demand tasks and teachers' ability to maintain these cognitive demands during their implementation of lessons. We investigate the factors affecting the maintenance and decline of cognitive demand in the implementation of a statistics…

Descriptors: Mathematics Instruction, Difficulty Level, Cognitive Processes, Elementary School Mathematics

Swars Auslander, Susan; Smith, Stephanie Z.; Smith, Marvin E.; Myers, Kayla – Journal of Mathematics Teacher Education, 2020

Increased accountability demands are being placed on teacher preparation programs across the USA to demonstrate competencies of their teacher candidates. As a means of evaluating teacher candidates' instructional effectiveness and readiness for their own classrooms, some programs are using standardized teacher performance assessments, with faculty…

Descriptors: Elementary School Teachers, High Stakes Tests, Preservice Teacher Education, Teacher Competencies

Yopp, David A.; Burroughs, Elizabeth A.; Sutton, John T.; Greenwood, Mark C. – Journal of Mathematics Teacher Education, 2019

This study investigated relationships between changes in certain types of coaching knowledge and practices among mathematics classroom coaches and how these explain changes in the attitudes, knowledge, and practice of the teachers they coach. Participants in this study were 51 school-based mathematics classroom coaches in the USA and 180 of the…

Descriptors: Elementary School Teachers, Middle School Teachers, Coaching (Performance), Mathematics Instruction

Earnest, Darrell; Amador, Julie M. – Journal of Mathematics Teacher Education, 2019

Curriculum materials are integral to the mathematics classroom, yet little is known about how teachers read curriculum in order to envision enactment. Through an assignment involving an approximation of actual teaching practice, we investigated prospective teachers' documentational genesis (Pepin et al. in ZDM 45:929-943, 2013) from curriculum…

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

Norton, Stephen – Journal of Mathematics Teacher Education, 2019

In Australia, there is increasing scrutiny of teacher education processes in learning to teach primary mathematics. In this study, mixed methods, including linear regression, are used to examine the entry mathematical content knowledge of third-year Bachelor of Education Pre-service Students and to relate this to their graduating level of content…

Descriptors: Mathematics Teachers, Elementary School Teachers, Pedagogical Content Knowledge, Foreign Countries

Shaughnessy, Meghan; Boerst, Timothy A.; Farmer, Susanna Owens – Journal of Mathematics Teacher Education, 2019

As teacher education shifts to focus on teaching beginners to do the work of teaching, assessments need to shift to focus on assessing practice. We focus on one teaching practice, eliciting student thinking, in the context of elementary mathematics. We describe assessments in two contexts (field and simulation). For each assessment, we describe…

Descriptors: Teaching Methods, Cognitive Processes, Elementary School Mathematics, Mathematics Instruction

de Vetten, Arjen; Schoonenboom, Judith; Keijzer, Ronald; van Oers, Bert – Journal of Mathematics Teacher Education, 2019

The ability to reason inferentially is increasingly important in today's society. It is hypothesized here that engaging primary school students in informal statistical reasoning (ISI), defined as making generalizations without the use of formal statistical tests, will help them acquire the foundations for inferential and statistical thinking.…

Descriptors: Preservice Teachers, Mathematics Instruction, Statistics, Inferences

Hilton, Annette; Hilton, Geoff – Journal of Mathematics Teacher Education, 2019

Proportional reasoning is the ability to use multiplicative thinking and make multiple comparisons. It is known to be challenging for many students and at the same time, many teachers require support to develop sufficient subject matter knowledge and pedagogical content knowledge to teach the diverse concepts that underpin proportional reasoning.…

Descriptors: Mathematical Logic, Mathematics Instruction, Teaching Methods, Elementary School Teachers

El Mouhayar, Rabih – Journal of Mathematics Teacher Education, 2019

This paper explored the following: (1) teachers' ways of attending to students' written responses in pattern generalization tasks and (2) differences in the ways of attending to students' responses associated with different factors. A questionnaire was developed to classify teachers' ways of attending to students' written responses. The…

Descriptors: Mathematics Teachers, Elementary School Teachers, Secondary School Teachers, Mathematics Instruction

Cooper, Jason; Karsenty, Ronnie – Journal of Mathematics Teacher Education, 2018

Is it possible that a meeting of mathematicians and primary school teachers will be productive? This question became intriguing when one professor of mathematics initiated a professional development course for practicing primary school teachers, which he taught alongside a group of mathematics Ph.D. students. This report scrutinizes the uncommon…

Descriptors: Mathematics Instruction, Mathematics Teachers, Mathematics, Professional Personnel

Norton, Stephen; Zhang, Qinqiong – Journal of Mathematics Teacher Education, 2018

The preparation of teachers to teach mathematics to primary school children differs across nations and cultures. This study used mixed methods to examine the basic content knowledge of trainee teachers in Australia and China. A simple test (30 questions) of content based on an international comparative study in mathematics teacher training found…

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

Ren, Lixin; Smith, Wendy M. – Journal of Mathematics Teacher Education, 2018

This study examines how various teacher characteristics and contextual factors are related to early primary teachers' beliefs about mathematical teaching and learning and teachers' attitudes toward their own learning of mathematics. A total of 396 early primary teachers across Nebraska participated in the study. Teacher characteristics and…

Descriptors: Teacher Characteristics, Context Effect, Elementary School Teachers, Mathematics Instruction