The analysis of word problem types and schema-based diagrams are assumed useful for helping students and thus, important for preservice teachers to learn in their preparation programs. Drawing on pre-and post-assessments and videotaped demonstrations, this study analyzed elementary preservice teachers' understanding of addition and subtraction…

The purpose of this study is to analyze pre-service elementary teachers' problems in terms of the different meanings of the addition of fractions and to determine the types of errors made in these problems. Data were collected from 83 pre-service elementary teachers in the spring semester of the 2016-2017 academic year by means of a problem posing…

Data from a longitudinal investigation were used to examine the effects of mothers' and teachers' language on children's developing mathematical competencies during the kindergarten year. Specifically, 1) mothers' use of metamemory talk, or references to the process of remembering, and 2) teachers' use of "cognitive processing language"…

Drawing on a literature review of classifications developed by each of Riley, Verschaffel and Carpenter and their respective research groups, a refined typology of additive relations word problems is proposed and then used as analytical tool to classify the additive relations word problems in South African Curriculum and Assessment Policy Standard…

The purpose of this study was to investigate how prospective elementary school mathematics teachers and elementary school students' ability to distinguish proportional situations from nonproportional situations differ or are alike. Participants of the study were 319 prospective primary and middle school teachers and 320 elementary school students…

This study investigated the sets of mental computation strategies used by prospective elementary teachers to compute sums and differences of whole numbers. In the context of an intervention designed to improve the number sense of prospective elementary teachers, participants were interviewed pre/post, and their mental computation strategies were…

This article contributes to the research literature concerning prospective elementary teachers' mathematical thinking and learning with a focus on flexibility. We present a case study of a prospective elementary teachers' development of flexibility in mental addition and subtraction during a Number and Operations course. Building upon the…

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…

Tabulation of addition and multiplication fact frequencies in arithmetic texts for grades one through six showed that large facts, with operands larger than five, occurred only half as frequently as those with operands in the two-to-five range. Theoretical and practical implications are discussed. (MKR)

Soft praise and written practice helped decrease the number of days required for an 11-year-old mildly retarded student to reach mastery level of basic addition skills. Accuracy was also affected by procedures, which were inexpensive and easy to implement. (CL)

Students who discover how to count by tens starting at a number other than 10 learn about the basic structure of the decimal system in addition. (CL)

This study examined how six experienced teachers got information about students' knowledge and used that information to adjust their instruction while tutoring the students in addition. Each teacher tutored five simulated students and one live student. (RB)

Presents an activity that engages children in thinking about the results of combining numbers. (ASK)

The problem solving performance of 24 learning disabled and 24 non-disabled second and fourth grade children was investigated using embedded irrelevant linguistic and numerical information within addition word problems. Irrelevant numerical information but not irrelevant linguistic information affected performance of all groups; however, LD…

The study involving 183 learning disabled and 852 nondisabled children (grades 3 through 6), investigated students' performance on arithmetic basic fact problems in addition, subtraction, and multiplication. Three separate group administered tests were devised, covering 98 basic addition, 98 subtraction, and 98 multiplication facts. Children were…