This paper is a natural extension of the root visualisation techniques first presented by Bardell (2012) for quadratic equations with real coefficients. Consideration is now given to the familiar quadratic equation "y = ax[superscript 2] + bx + c" in which the coefficients "a," "b," "c" are generally…

The Gale-Shapley stable marriage theorem is a fascinating piece of twentieth-century mathematics that has many practical applications--from labor markets to school admissions--yet is accessible to secondary school mathematics students. David Gale and Lloyd Shapley were both mathematicians and economists who published their work on the Stable…

The study aims to investigate the analysis of student metacognition skill in solving the rainbow connection problem under the implementation of the research-based learning model. The method used in this study is a mixed method. The research subjects were the 4th semester of students of higher education consisting of 30 students of experimental…

This study aimed to investigate the effects of different ways of presenting teaching materials on enhancing mathematical problem-solving abilities. This research was obtained using a quasi-experimental design with the non-equivalent control group design. The study population was all eighth graders enrolled in public junior high schools (SMP) in…

This paper dealt with the design of learning tools, that was the development of learning implementation plan or Rencana Pelaksanaan Pembelajaran (RPP) based on Fun and Easy Math (FEM) approach in the form of a number line model. FEM was an approach in order to teach mathematics effectively to students in a fun and easy way according to the…

The coordination of multiple external representations is important for learning, but yet a difficult task for students, requiring instructional support. The subject in this study covers a typical relation in physics between abstract mathematical equations (definitions of divergence and curl) and a visual representation (vector field plot). To…

This research aimed to examine the difficulties and failures of eleventh-grade students regarding probability concepts. With this aim, ten different open-ended probability problems were asked to the 142 eleventh-grade students. Each of these problems requires using different basic probability concepts. It is qualitative research, and the data…

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 process and results of a professional development program (PDP) carried out with science, mathematics and technology (SMT) teachers throughout Thailand. Method: One hundred and three teachers participated and completed the professional development program which is comprised five of phases: (1) commit to a vision and…

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…

This study explores six item-reduction methodologies used to shorten an existing complex problem-solving non-objective test by evaluating how each shortened form performs across three sources of validity evidence (i.e., test content, internal structure, and relationships with other variables). Two concerns prompted the development of the present…

This paper describes how the author's students (in-service and pre-service secondary mathematics teachers) enrolled in college geometry courses use the Geometers' Sketchpad (GSP) to gain insight to formulate, confirm, test, and refine conjectures to solve the classical airport problem for triangles. The students are then provided with strategic…

Within the "Australian Curriculum: Mathematics" the Understanding proficiency strand states, "Students build understanding when they connect related ideas, when they represent concepts in different ways, when they identify commonalities and differences between aspects of content, when they describe their thinking mathematically and…

The study was a quasi-experimental research project conducted to investigate the effect of performance assessment-driven instructions on the attitude and achievement in mathematics of senior high school students in Ghana at Ghana National College in Cape Coast. Two Form 1 science classes were used for the study and were assigned as experimental…