This narrative inquiry study explored how emerging elementary educators perceived their understanding of mathematics learning and teaching as they became elementary educators. The study considered how past experiences influenced emerging educators' frames of reference as they began to teach elementary mathematics. Methods consisted of individual…

The relation between mathematical achievement in early childhood and future academic success is well established. However, our knowledge about the effect of instruction on mathematical performance is often reliant upon self-report or videotaped instruction measures and standardized achievement assessments. The current study uses teacher audio…

We explored primary pre-service teachers' beliefs about challenging mathematical tasks and the role they perceived their initial teacher education played in influencing those aspects. Fifty-seven pre-service teachers completed an online questionnaire, and four participants were individually interviewed. Results showed that most participants…

Teachers' beliefs are importantly linked to teachers' classroom actions and, ultimately, to student achievement. Although much is known about general education teachers' beliefs about how children learn mathematics and mathematics instruction, there is little known about special education teachers' beliefs. This study then examined special…

We, six elementary mathematics teacher educators (MTEs), noticed that many of our elementary pre-service teachers (EPSTs) were limited by their views of mathematics, typically as the result of their prior experiences with learning mathematics. Much of the research around such limiting views focuses primarily on negative experiences or treats such…

Teacher knowledge is particularly important in middle school mathematics to enhance the meaningful transition from arithmetic to algebra. Developing a solid understanding of algebra requires teachers to unpack the meaning underlying the basic concepts, make clear and explicit distinctions among concepts, and facilitate students to connect these…

This study examines whether "My Math Academy," a digital game-based learning environment that provides personalized content and adaptive embedded assessments, can improve math knowledge of Transitional Kindergarten and Kindergarten students. A cluster randomized study was conducted with 20 classrooms, 10 of which were randomly assigned…

In this study, we specify teacher's knowledge and beliefs that influence their enactment of mathematics tasks. The use of tasks in lessons requires teachers to consider students' mathematical thinking and to know how to effectively implement tasks. Among the many aspects of teachers' understanding of students and ability to implement tasks for…

The purpose of this study is to explore elementary educators' perceptions regarding what it means to conceptually understand mathematics, the emphasis teachers place on utilizing evidence-based teaching processes, as identified as effective by National Council of Teachers of Mathematics (NCTM), and how these perceptions influence their…

Decades of scholarly work continue to document the marginalization of children from nondominant backgrounds in mathematics classrooms. Learning to equitably teach children from linguistically, ethnically, racially, and culturally diverse backgrounds remains a priority. This dissertation approaches this broader problem in society by understanding…

In our study, 32 German and Swiss 8th/9th-grade classes of lower-secondary school worked with their teacher on the same proving problem. The sample belongs to the Swiss-German study "Quality of Instruction, Learning Behavior and Mathematical Understanding". Our data analyses relate to the teachers' approaches to generating a specific…

The theory of realistic mathematics education establishes that framing mathematics problems in realistic contexts can provide opportunities for guided reinvention. Using data from a study group, I examine geometry teachers' perspectives regarding realistic contexts during a lesson study cycle. I ask the following. (a) What are the participants'…

Teachers' content knowledge and beliefs about teaching and learning are among the key factors for effective teaching and, in turn, for student achievement-related outcomes. This study explores the extent to which K-8 math teachers'--who teach in high-poverty urban schools--professional background, motivational beliefs, and mathematical knowledge…

Over the last two decades, many Australian universities have relaxed their selection requirements for mathematics-dependent degrees, shifting from hard prerequisites to assumed knowledge standards which provide students with an indication of the prior learning that is expected. This has been regarded by some as a positive move, since students who…

The aim of this study was to identify challenges in implementing a physics-before- 10 mathematics curriculum. Obviously, students need to learn necessary mathematics skills in order to develop advanced physics knowledge. In the 2010 high school curriculum in Taiwan, however, grade 11 science students study two-dimensional motion in physics without…