This paper reports on what two teacher candidates and their instructor learned from an action research project into the use of inquiry to teach mathematics. We use a model of the relation between theory and practice in teacher education to interpret what we learned about inquiry. This model describes three modes for teacher candidates to learn…

Many in the field of mathematics education call for elementary schools to have elementary mathematics specialists (EMSs) who provide needed mathematical expertise and support for children and teachers. EMSs serve as a reasonable, immediate alternative to the challenges generated by elementary teachers needing improved mathematical knowledge for…

Instructors (N = 204) of elementary mathematics methods courses completed a survey assessing the extent to which they stay informed about research related to effective uses of educational technology and the kinds and numbers of educational technologies they include in their courses. Findings indicate that, while they view educational technology…

This meta-ethnography explores qualitative studies around the Cognitively Guided Instruction (CGI) framework of mathematics and illustrates how CGI epitomizes differentiation. The meta-ethnographic process is used to synthesize CGI as differentiation, specifically within the elementary mathematics classroom. Thomas P. Carpenter is credited as one…

The purpose of this correlational quantitative study was to examine the extent to which teachers perceive the use of benchmark assessment data as effective; the extent to which the time spent teaching mathematics is associated with students' mathematics grades, and the extent to which the results of math benchmark assessment influence teachers'…

This article explores how preservice elementary teachers change their negative beliefs toward mathematics into positive ones after taking a mathematics methods course that follows the Concrete-Pictorial-Abstract (CPA) instructional method. Also explored is the relationship between those beliefs and sociomathematical authority. By administering…

The current analyses address two primary research aims: 1) Does students' anxiety in mathematics and science predict their self-efficacy in each subject area? The authors hypothesized that students' anxiety in mathematics and science would be negatively associated with their self-efficacy in each area. 2) Does being in a "Responsive Classroom[R]"…

This submission contains the Proceedings of the 2015 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at the Université de Moncton in Moncton, New Brunswick. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of…

Current mathematics education reforms devoted to reasoning and proof highlight its importance in pre-kindergarten through grade 12. In order to provide students with opportunities to experience and understand proof, mathematics teachers must have a solid understanding of proofs themselves. In light of this challenge, a growing number of…

Ten studies investigating the relationship between instructional time and achievement on elementary school reading and mathematics tests were reviewed. The studies involved general classroom research, instructional time research, and attention research. The review indicated that the relationship between academic achievement and instructional time…

Discussed are number meaning and part-whole relationships concerning place value. Findings from a research study with students in grades two-five who were interviewed about place-value tasks are given. Stages of interpreting two-digit numbers are presented, with implications for the classroom. (MNS)

Some findings from research on problem solving are briefly summarized. (MNS)

Research on what elementary school students know about probability prior to instruction and what they can learn about probability is concisely reviewed. Many references are included. (MNS)

Research on direct instruction in mathematics is briefly summarized, with key procedures listed. (MNS)

Research on students' attainment on multiplication facts, common errors, and meaningful instruction is briefly cited in this review. (MNS)