This study examined proposed teacher responses to students' work to investigate how they respond, what characteristics of a good response are more difficult than others to achieve, and whether particular student error types are more difficult to respond to appropriately. Sixteen preservice secondary mathematics teachers' proposed responses to five…

This article aims at studying pseudo construction of student thinking in mathematical concepts, integer number operation, algebraic forms, area concepts, and triangle concepts. 391 junior high school students from four districts of East Java Province Indonesia were taken as the subjects. Data were collected by means of distributing the main…

The aim of this study is to identify the mistakes made by ninth grade students in the subject of functions and reveal the reasons for these mistakes. In line with this purpose, the case study method, which is among the qualitative research methods, was used in the study. The study group of the research was composed of 52 Anatolian ninth grade…

This paper describes the results achieved by high school seniors on an item which involves translation of the equation P = kT into a corresponding pictorial external representation. The majority of students (the classes of 2011, 2012 and 2013) did not give the correct answer to the multiple choice part of the translation item. They chose pictorial…

In this study we set out to investigate the errors made by students in logarithms. A test with 16 items was administered to 89 Secondary three students (Year 9). The errors made by the students were categorized using four categories from a framework by Movshovitz-Hadar, Zaslavsky, and Inbar (1987). It was found that students in the top third were…

The purpose of this research was to explore to what extent probing learners' errors on simplifying algebraic fractions would help them to reduce those errors. The study assumed that students' errors and misconceptions persist because they handle mathematical concepts as if they were isolated chunks of knowledge. A sample of 15 grade 10 girls took…

The learning sciences community has made significant progress in understanding how people think and learn about complex systems. But less is known about how people make sense of the quantitative patterns and mathematical formalisms often used to study these systems. In this article, we make a case for attending to and supporting connections…

The objective of this action research study was to explore the use of formative assessment (daily quizzes), including identification of student weaknesses or lack of understanding, along with instructional correctives that are different from previous instruction, to help students attain the intended learning goals. Part of the exploration was to…

This paper investigates the use of discourse markers among Form Four second language learner (SLL) students in essay writing. The objectives of this study are to discover how Form Four SLL students use discourse markers in their essay writing and to identify the teachers' perception about the usage of discourse markers among students. 30…

The purpose of the study was to determine the students' error in learning quadratic equation. The samples were 30 form three students from a secondary school in Jambi, Indonesia. Diagnostic test was used as the instrument of this study that included three components: factorization, completing the square and quadratic formula. Diagnostic interview…

Research studies have shown that students encounter difficulties in transitioning from arithmetic to algebra. Errors made by high school students were analyzed for patterns and their causes. The origins of errors were: intuitive assumptions, failure to understand the syntax of algebra, analogies with other familiar symbol systems such as the…

We present a summary of a study carried out with students of the first year of Bachillerato (the first of two pre-university non-obligatory secondary education courses in Spain) to determine and analyse some of their errors and difficulties in learning inequalities with the aim of improving the teaching-learning process of this topic. The study…