This paper compares sections on functions and linear functions from two Korean textbooks and an American standards-based textbook (University of Chicago School Mathematics Project [UCSMP] Algebra) to understand differences and similarities among these textbooks through horizontal and vertical analyses. We found that these textbooks provide…

Student performance in general subjects such as language and mathematical skills is poor in secondary vocational education. A professional culture of teaching--including recruitment of well qualified teachers, effective teacher collaboration and effective teaching practice--could be the key to success. To what extent is there a professional…

The aim of the 2018 International Association for Development of the Information Society (IADIS) Cognition and Exploratory Learning in the Digital Age (CELDA) conference was to address the main issues concerned with evolving learning processes and supporting pedagogies and applications in the digital age. There have been advances in both cognitive…

Social cognitive research has linked students' perceived academic capabilities, or self-efficacy, to academic choices, self-regulation, and performance in diverse contexts from reading comprehension to mathematical problem solving. This study addressed a need to investigate the interactions among prior achievement, self-efficacy, calibration (the…

These proceedings contain papers of the 3rd International Baltic Symposium on Science and Technology Education (BalticSTE2019) held in Šiauliai, Lithuania, June 17-19, 2019. This symposium was organized by the Scientific Methodical Center "Scientia Educologica" in cooperation with the Institute of Education, Šiauliai University. The…

Describes a covariational, rather than correspondence, approach to functions that emphasizes rate of change. Proposes three ways of understanding rate of change in relation to exponential functions. (Contains 41 references.) (Author/MKR)

After observing secondary school students having great difficulty learning geometry in their classes, Dutch educators Pierre van Hiele and Dina van Hiele-Geldof developed a theoretical model involving five levels of thought development in geometry. It is the purpose of this monograph to present English translations of some significant works of the…

Results from a large-scale study of sixth-form and college students' understanding of elementary calculus and mathematical ideas underlying calculus are presented. Difficulties with speed, tables, linear graphs, curves and differences, the tangent as the limit, and the average rate of change are each discussed. (MNS)

Mental skills developed through the study of mathematics are identified, and ways in which this information can shape the role of teachers of algebra are suggested. (MNS)

Examines didactic interventions and claims their impact on pupil behavior aids the study of cognitive processes. Studies problem solving in teaching mathematics. Examines the functions of tutorial interventions in surface features and instability of representation. Finds tutorial interventions demonstrate a substantial increase in performance…

A study determined the abilities of students to interpret and represent graphs by asking 15-year-old female students (n=10) to write stories to accompany any 3 of 12 graphs presented. Results indicated that the students were not able to accurately relate real life situations to graphical forms. (MDH)

Describes a study on secondary school students' ways of thinking about linear, quadratic, rational, and square-root inequalities. Indicates that using graphic representations of parabolas when solving rational and quadratic inequalities usually yielded correct solutions and difficulties arose when students failed to reject the excluded values or…

A large and representative 10% sample of classrooms consisting of 1,587 students from a mid-western province in Canada was administered a standardized achievement test battery. This battery consisted of four tests, Reading, Mathematics, Written Expression, and Using Sources of Information. Gender and rural-urban differences in achievement and…

Common mathematical errors of pupils as identified by the Concepts in Secondary Mathematics and Science Project are identified and traced to the use of methods invented by students rather than formally taught methods. (MP)

In the research described in this document, the goal was to develop definite theoretical characterizations of understanding in a specific domain of problems. Some performance that provides persuasive evidence of understanding was chosen, and hypotheses about cognitive structures and processes that cause the performance to occur were developed.…