In this study, the author examined student attempts to translate a verbal problem into an algebraic statement relating two variables, after they had solved an arithmetic question from the same problem. A total of 645 students from New England (U.S.A.) answered the problem on a mathematics assessment administered at the beginning of the school…

The purpose of this study is to investigate the relationship between secondary school students' estimation skills, estimation skills self-efficacies and academic achievements. The research was designed in a correlational survey model, one of the quantitative research models and it was carried out in Adana, a city in the Mediterranean Region during…

The development and use of learning trajectories is a body of research that has made enormous contributions to the field of mathematics education, offering insight into the teaching and learning of topics at all levels. Simultaneously, the work of building learning trajectories can benefit from explicitly adopting an anti-deficit stance,…

The environment is a global issue that must be addressed in a variety of ways, including education. Environmental topics will be included into mathematics, which is allowed to boost students' awareness of environmental concerns. This is a qualitative study conducted in a qualitative technique. The objectives of this study were to (1) describe…

The aim of this study was to investigate the effect of using dynamic geometry software (GeoGebra) on the eighth-grade students' conceptual understanding and the retention of learning regarding linear equations and slope. In this study, a quasi-experimental design with pre-test, post-test and delayed post-test was employed. This study was conducted…

Adaptive learning systems personalize instruction to students' individual learning needs and abilities. Such systems have shown positive impacts on learning. Many schools in the United States have adopted adaptive learning systems, and the rate of adoption in China is accelerating, reaching almost 2 million unique users for one product alone in…

What kind of knowledge informs the practice of English teachers? Recent policy developments, in England and elsewhere, have sought to specify a knowledge base for teachers. Drawing on case studies produced by pre-service English teachers, this essay explores the complex, multifaceted and situated character of the knowledge that teachers develop in…

Emphasis in teaching and learning statistics has shifted from memorizing formulas and procedures to investigating situations, creating models, and using data to understand problems. The Common Core State Standards for Mathematics (CCSSM) (NGA Center and CCSSO 2010) Grade 8 Statistics and Probability content standards drive this point home.…

In this exploratory case study, the researchers conducted a descriptive, qualitative microanalysis of the tutoring of two eighth grade students with learning disabilities while solving algebra problems. The researchers analyzed the participants' problem solving tendencies and interventions that helped the students succeed. One of the students,…

Learning rational number concepts is acknowledged as an important task but many learners find it difficult to make sense of them. This paper reports on a case study of the learning in a short (nine-lesson) learning programme for Grade 8 learners in a Namibian school, which sought to use visual models (circle area, bar area and number line) to…

We present a model for describing the growth of students' understandings when reading a proof. The model is composed of two main paths. One is focused on becoming aware of the deductive structure of the proof, in other words, understanding the proof at a semantic level. Generalization, abstraction, and formalization are the most important…

In this study, we examined whether generalised mathematics anxiety, application of mathematics in science anxiety, and positive attitudes towards mathematics influenced adolescents' intentions to study biology, chemistry, and physics in Grades 11 and 12. Participants were 477 students in Grades 8-10 from two schools in Western Sydney. Girls…

Most children, when presented with the option between two drink items, will choose the one with "more." But what exactly do children consider when they recognize one object as having more than another? Is it the perceived surface area or volume of an object? Depending on children's cognitive development, the aspect of measurement on…

The academic effects of learning statistics and probability through peer tutoring were analysed in the research reported on here. Two hundred and eight students enrolled in Grades 7, 8 and 9 participated. Fixed- and same-age peer tutoring was implemented 3 times per week for 6 weeks. Each tutoring session lasted approximately 25 minutes. The main…

This study aimed to evaluate the effectiveness of the Prime Factors Chart (PFC) as an alternative teaching material, which was developed for teaching the concepts within the "factors and multiples" unit in the middle school mathematics curriculum. Twelve middle school mathematics teachers used the PFC to teach concepts, such as prime…