This study aimed at: (1) determining whether the Concrete-Pictorial-Abstract (CPA) strategy has a positive effect on students' mathematical conceptual understanding (MCU) and students' mathematical representation (MR) on fractions; (2) describing how CPA strategy can improve students' MCU and students' MR on fractions. This research used a mixed…

We design, validate, and administer a 24-item test to study student understanding of linear functions in 1D kinematics [x(t)] and mathematics [y(x)] in the 9th grade. The items assess identification and comparison of initial position and velocity in 1D kinematics and of the y intercept and slope in mathematics using a graph or an algebraic…

Purpose: This study reports the effects of the developed localized mobile game "Hangaway Game" on the performance of Grade 11 students in Statistics and Probability. Methodology: The quasi-experimental design of research (Ary, Jacobs, & Razavish, 1996) was used in this study. Prior to the conduct of research, the mobile game…

Exploiting the special synergy between science and mathematics can deepen children's understanding of scientific concepts and ideas and provide a range of contextualised opportunities for children to apply their mathematical knowledge and skills. With some creative thought and careful planning, science activities can be developed so that they…

Physical phenomena and relations can be described mathematically by functional dependencies. These are represented in the form of tables, graphs, algebraic expressions or verbal descriptions. Only the combination of different representations enables students to experience a physical phenomenon or concept in a holistic way. Therefore, students have…

Educators are now charged with instructing students who are growing up in a digital environment (Hsin, Li & Tsai, 2014). Students need access to 21st century learning environments that incorporates technology use, especially in mathematics (Darling-Hammond, Wilhoit & Pittenger, 2014). Unfortunately studies show that technology integration…

In the current era of mathematics education reform, researchers have sought to show how beliefs about mathematics change due to experiences learning mathematics (Hannula, 2006) and how these beliefs can influence mathematics teaching and learning (Leinwand, Brahier, & Huniker, 2014). A convergent parallel mixed methods study was conducted to…

Central to the conference theme "Research Impacting Practice", this paper presents the findings of a large-scale mathematics professional development (PD) intervention in disadvantaged communities in Indonesia. The study investigated the impact of a lesson design-driven PD on secondary mathematics teachers' content knowledge (CK). The…

Our qualitative case study explored the nature of pre-service teacher (PST) reflections when analysing video-based lessons aimed at developing their reflective practice. 14 PSTs participated in the study. Data were collected through lesson observation and individual PSTs' written reflections. The initial data show that PSTs find lesson reflection…

Research has demonstrated strong relations between spatial skill and mathematics across ages and in both typical and atypical populations, suggesting that a significant proportion of variance in mathematics performance can be explained by variance in spatial skill. Why do these relations exist and how do they develop? Studies of dimensionality in…

Cognitive load theory was used to hypothesize that the effectiveness of collaborative learning is moderated by the completeness of the prerequisite knowledge bases of group members. It was predicted that when group members have gaps in their knowledge base that can be filled by other group members, collaborative is superior to individual learning.…

This study investigates one issue related to reading mathematical texts by presenting a two-dimensional framework for assessing reading comprehension of geometric construction texts. The two dimensions of the framework were formulated by modifying categories of reading literacy and drawing on key elements of geometric construction texts. Three…

The goal of this paper is to explore dynamic geometry environments (DGE) as a type of computer programming language. Using projects created by secondary students in one particular DGE, we analyse the extent to which the various aspects of computational thinking--including both ways of doing things and particular concepts--were evident in their…

A strong foundation in early number concepts is critical for students' future success in mathematics. Research suggests that visual representations, like a number line, support students' development of number sense by helping them create a mental representation of the order and magnitude of numbers. In addition, explicitly sequencing instruction…

This conceptual paper considers what it would mean to take seriously Freudenthal's suggestion that mathematics should be taught like swimming. The general claim being made is that "direct instruction" and "discovery" are not opposite but complementary, linked by repetitive yet explorative practice. This claim is elaborated…