In this article Amy MacDonald asks us to reconsider the starting point for teaching measurement concepts. We are sure readers will enjoy looking at the drawings and reading of the implications for teachers of young children. We are certain that if you teach young children you will want to try the "Draw yourself measuring task".

This study aims to investigate knowledge levels of pre-service mathematics teachers about set. The study was carried out on a total of 196 students studying at the Department of Mathematics Teaching at Kazim Karabekir Faculty of Education in Ataturk University. Concept testing consisting of 7 open-ended questions aiming to analyze the knowledge of…

The aim of this study is to determine students' learning difficulties and misconceptions related to the "inverse function". The study group was composed of 137 first-grade students enrolled in the elementary mathematics teaching program of an Eastern Anatolia University in Turkey during the fall term of the academic year 2010-2011. The…

In this article, the author describes the development and implementation of a measurement-based group activity designed to support students in understanding the connection between angle magnitude and the shape of the sine function. She explains that the benefit of this activity is that it allows students to build their trigonometric knowledge…

Development of two-digit place value understanding in the elementary grades has been the subject of some study; however, research at the pre-kindergarten (Pre-K) level is limited. This two-part paper begins by providing an overview of two-digit place value instruction in Pre-K and describes the component parts of a research-based math curriculum,…

This study considers tertiary calculus students' and instructors' conceptualizations of slope. Qualitative techniques were employed to classify responses to 5 items using conceptualizations of slope identified across various research settings. Students' responses suggest that they rely on procedurally based conceptualizations of…

Admittedly, the Fundamental Theorem of Calculus-TFA holds an important role in the Complex Analysis-CA, as well as in other mathematical branches. In this article, we bring a discussion about the TFA, the Rouché's theorem and the winding number with the intention to analyze the roots of a polynomial equation. We propose also a description for a…

What if every middle school student learned to create a robot in math class? What if every middle school had a robotics team? Would students view mathematics differently? Would they have a different relationship with technology? Might they see science and engineering as fields driven by innovation rather than memorization? As students find…

A renewed emphasis was placed on ratio and proportional reasoning in the middle grades in the Common Core State Standards for Mathematics (CCSSM). The expectation for students includes the ability to not only compute and then compare and interpret the results of computations in context but also interpret ratios and proportions as they are…

Activity-based instructional strategies promote physical interaction with manipulatives to represent abstract concepts. As a means to improve student achievement in mathematics, educational researchers and practitioners often recommend instructional strategies that capitalize on the assumed benefits of manipulatives. Recent research has indicated…

As computing becomes ubiquitous, software correctness has a fundamental role in ensuring the safety and security of the systems we build. To design and develop software correctly according to their formal contracts, CS students, the future software practitioners, need to learn a critical set of skills that are necessary and sufficient for…

This single-subject multiple-baseline across participants study was designed to investigate the effects of explicit instruction with manipulatives on the conceptual and procedural knowledge of addition and subtraction of like and unlike fractions of elementary school students with autism. This study included six 8- to 12-year-old students with…

The major purpose of this study was to examine the similarities and differences in the contents of algebra topic in selected elementary school mathematics textbooks of Finland and Taiwan. The mathematics curriculum market leaders of Finland and Taiwan, Laskutaito and Kang Hsuan, were examined using content analysis method. Results show that while…

Continuity is a central concept in calculus. Yet very few students seem to understand the nature of continuity. The research described was conducted in two stages. Students were asked questions in multiple choice and true/false format regarding function, limit and continuity. These results were used to identify participants as strong, weak or…

What types of performance do we encourage in our mathematics students? How do these performances reflect students' identity constructions? This paper uses a performance metaphor for identity to analyse interviews with teachers and students in their first year of secondary school. "Perseverance" is valued by teachers, yet many mathematics…