Choosing the right strategy is an important condition to successfully solve math problems. Research studies often present individual types of strategies more or less separately. This study aims to determine student solutions of selected word problems in the whole context of the solution process. In this context, such nonstandard word problems…

Although the complexity of children's number learning is recognized, trade books about number have been treated as a simple, undifferentiated set. This analysis of 186 children's books, however, categorized a distinct subset of books about number as "counting books." These counting books were complex with regard to portrayal of counting…

This article shares two activities geared toward students in middle school that engage students in analyzing measures of center, specifically the arithmetic mean, and using transnumerative thinking with the ultimate goal of improving students' statistical literacy. Both activities support the Common Core standard, 6.SP.B.5 "Summarize and…

The self-report and think-aloud approaches are the two dominant methodologies to measure metacognition. This is problematic, since they generate respondent and confirmation biases, respectively. The Meta-Performance Test is an innovative battery, which evaluates metacognition based on the respondent's performance, mitigating the aforementioned…

Past studies revealed that the integration of ethnomathematics approaches is of great importance in the teaching and learning of mathematics as it is believed to improve learners' understanding and achievement in mathematics. Cognisant of the benefits of using ethnomathematics approaches in teaching and learning mathematics, the Zimbabwean school…

Whole-number arithmetic is a core content area of primary mathematics, which lays the foundation for children's later conceptual development. This paper focuses on teaching whole-number multiplication (WNM) to build a stepping stone for children's proportional reasoning. Our intention in writing this paper is to obtain a practice-based perspective…

The purpose of this article is to show how the philosophical theory of inferentialism can be used to understand students' conceptual development in the field of mathematics. Based on the works of philosophers such as Robert Brandom, an epistemological theory in mathematics education is presented that offers the opportunity to trace students'…

Students require knowledge of fraction, arithmetic and integer to tell the time. The purpose of the current study is to discover the conceptual knowledge related to hours, how the students read the clock and use half and quarter concepts to read the time in Turkey. A qualitative research method with a case study approach was used for this…

The purpose of the study is to examine how pre-service and in-service mathematics teachers locate repeating decimals and irrational numbers on the number line. The participants of the study included 274 pre-service and 106 in-service mathematics teachers. Data were collected through a written questionnaire including four open-ended questions. In…

Arithmetic skills are without a doubt integral to a student's success or failure in first-semester general chemistry. The MUST (Math-Up Skills Test) is a powerful tool for assessing a student's arithmetic logic and therefore serves as a great predictor for at-risk students. Early math reviews at the start of the semester are thought to help…

This study aimed to examine the inversion skills of preschool children. Within the framework of the main objective of this study, the differentiation of children's inversion skills was analyzed according to various variables (age, gender, school type, mother's and father's education level). The study group consisted of a total of 80 children (40…

Background: Prior research with adults and children suggests that inhibitory control may have a role to play in learning counterintuitive fractions and decimals that are inconsistent with whole number knowledge. However, there is little research to date with primary school-aged children at the early stages of fraction and decimal instruction that…

In this study, we decomposed the broad practice of deciphering multiple solution strategies. We conducted interviews with 11 preservice elementary teachers, in which we asked teachers to decipher students' standard and nonstandard strategies to multiplication and division problems. We examined what teachers said and did--what we refer to as…

Research on learning through serious games has been gaining importance in recent years. We develop the serious game "Tempoly," concerning the learning of the four arithmetic operations on polynomials. A quasi-experimental study was carried out with 95 students of 8th grade, to evaluate the reactions of the students to the game, the…

Mathematics education scholars have generally classified students' conception of the equal sign as either operational or relational. Adding to these conceptions, Jones (2008) introduced the idea of substitutional conception. Building off these scholars, I introduce a form of understanding the equal sign that includes a transformative equivalence…