This paper reports an innovative approach to teaching problem solving in secondary school mathematics classrooms based on a specifically designed problem-solving module.This approach adopts the science practical paradigm and rides on the works of Polya and Schoenfeld in order to give greater emphasis to the problem solving processes. We report the…

Concept-focused quiz questions required College Algebra students to write about their understanding. The questions can be viewed in three broad categories: a focus on sense-making, a focus on describing a mathematical object such as a graph or an equation, and a focus on understanding vocabulary. Student responses from 10 classes were analyzed.…

With the increased use of standardised mathematics assessments at the classroom level, teachers are encouraged, and sometimes required, to use data from these assessments to inform their practice. As a consequence, teacher educators and researchers are starting to focus on the development of analytical tools that will help them determine how…

The National Senior Certificate examination is the most important school examination in South Africa. Analysis of learners' performance in Mathematics in this examination is normally carried out and presented in terms of the percentage of learners who succeeded in the different bands of achievement. In some cases item difficulties are presented --…

Error analysis is the study of errors in learners' work with a view to looking for possible explanations for these errors. It is a multifaceted activity involving analysis of correct, partially correct and incorrect processes and thinking about possible remediating strategies. This paper reports on such an analysis of learner tests. The tests were…

The study investigates the mathematical and the pedagogical content knowledge among in-service and pre-service first- and second-grade mathematics teachers. The sample of 300 subjects consisted of 150 first- and second-grade in-service teachers and 150 pre-service teachers studying in a college of education, 75 of whom were first-year students and…

Blended learning opportunities are expanding for K-12 students in public school settings. As these opportunities increase, researchers and educators seek to discover specific characteristics of the students who are most successful in blended learning environments. The purpose of this study was to investigate the relationship between students'…

Research on flipped instruction with English Language Learners (ELLs) is sparse. Data-driven flipped research conducted with ELLs primarily involves adult learners attending a college or university. This study examined the academic performance of secondary ELLs who received flipped instruction in an algebra course at a newcomer school compared to…

This study compared models of assessment structure for achieving differentiation across the range of examinee attainment in the General Certificate of Secondary Education (GCSE) examination taken by 16-year-olds in England. The focus was on the "adjacent levels" model, where papers are targeted at three specific non-overlapping ranges of…

Children experience numerous types of learning transitions throughout their educational lives physically (changing schools) and substantively (moving through different key stages in school), and daily (in moving between subjects). One transition that is frequently overlooked within the British education system is that from the General Certificate…

Many countries have implemented policies to prevent or combat educational disadvantage associated with socioeconomic factors in the students' home environment. Under such policies, educational institutions generally receive extra support from the central or local government. The support is normally based on indicators available in the home…

This paper examines the causal effects of autonomy over teacher hiring on student math and science achievement using the random student assignment policy implemented in Korea. Under this policy, students were randomly assigned to different schools within their school districts which equalized the compositions of student bodies across schools.…

It has long been argued that U.S. states' differential performance on nationwide assessments may reflect differences in students' opportunity to learn the tested content that is primarily due to variation in curricular content standards, rather than in instructional quality or educational investment. To quantify the effect of differences in…

This study extends previous research investigating the effects of state-wide exit exams by studying the change from a class-based to a state-wide exit exam system over 5 years, using multilevel analyses and examining mediating effects of teachers' practices on students' motivational orientations. In this multi-cohort study, we analyzed in…

Does teacher quality differ within and between countries, and how are measures of teacher quality related to instructional alignment and instructional time in mathematics? Fourth-grade classroom data from the IEA's Trends in Mathematics and Science Study (TIMSS) 2015 revealed that although measures of teacher quality were only weakly related to…