Children often learn abstract mathematics concepts with concrete manipulatives. The current study compared different ways of using specific manipulatives -- base-ten blocks -- to support children's place value knowledge. Children (N = 112, M age = 6.88 years) engaged in place value learning activities in one of four randomly assigned conditions in…

The current study explores how teachers report using enabling and extending prompts when teaching with sequences of challenging mathematical tasks. Twenty-nine early years primary school teachers completed a questionnaire following their participation in a professional learning project. Findings suggest that teachers': view prompts as important…

The importance of multiplicative thinking in supporting students' learning of key topics and success in further mathematics is widely and clearly stated in mathematics education literature. However, multiplicative thinking is not clearly stated in curriculum documents of many countries including Australia. In the "Australian Curriculum:…

Dyslexia is a specific learning disability caused by a neurological problem. It is a worldwide problem with a prevalence of 5-10% of the population. It is described mainly by difficulties in reading, spelling, accuracy, fluency, and decoding abilities. This article is chiefly concerned to provide an overview of dyslexia, some key issues based on…

The current study used microanalytic interviews and behavioral traces to examine sequential phase relations among forethought, performance, and self-reflection processes, and to investigate the predictive influence of these processes on mathematics performance of 96 eighth grade students. Consistent with expectations, students' microanlaytic goals…

This article describes how a teacher orchestrated a productive mathematics discussion to draw out mathematical knowledge and connect different areas of mathematics following a geometric sequences task. Whenever teachers succeed to engage their students in producing mathematics, it is advantageous for their moves to be analysed, discerned and…

Reporting on a Grade 4 teaching and learning sequence, we highlight foundational constructs of measurement and data modelling which are fundamental to competence development in both science and mathematics. The sequence involved students generating and representing measures of their teacher's arm-span, with a focus on the invention and refinement…

How should a wide variety of educational activities be sequenced to maximize student learning? Although some experimental studies have addressed this question, educational data mining methods may be able to evaluate a wider range of possibilities and better handle many simultaneous sequencing constraints. We introduce Sequencing Constraint…

The article introduces a software application (MATH) supporting an education of Applied Mathematics, with focus on Numerical Mathematics. The MATH is an easy to use tool supporting various numerical methods calculations with graphical user interface and integrated plotting tool for graphical representation written in Qt with extensive use of Qwt…

Graphical representations (GRs) of the learning content are often used for instruction (Ainsworth, 2006). When used in learning technology, GRs can be especially useful since they allow for interactions across representations that are physically impossible, for instance by dragging and dropping symbolic statements into a chart that automatically…

We are researching actions that teachers can take to improve mathematics learning for all students. Structural elements of the lessons being trialled include making aspects of pedagogy explicit to seek to overcome differences in familiarity with schooling processes, and sequencing tasks with the potential to engage students. This article reports…

THIS VOLUME IS AN APPENDIX TO ED 003 346. SAMPLE COPIES OF THE TESTS AND INSTRUCTIONAL MATERIALS USED IN THE STUDIES ARE INCLUDED. DESCRIPTIONS INCLUDE EXPERIMENTS ON DISCOVERY VERSUS EXPOSITORY SEQUENCING IN A PROGRAMED UNIT ON SUMMING NUMBER SERIES. THESE MATERIALS ARE PRESENTED TO PROVIDE CONCERNED PERSONS WITH A BETTER UNDERSTANDING OF THE…

THE TRANSFER EFFECTS OF DISCOVERY AND EXPOSITORY INSTRUCTIONAL TECHNIQUES FOR SEQUENCING OF INSTRUCTION WERE THE PURPOSE OF THIS TWO-PART STUDY. THE FIRST STUDY COMPARED THE TWO PROCEDURES IN A PROGRAMED UNIT ON SUMMING NUMBER SERIES. SAMPLES FOR THIS PART OF THE STUDY CONSISTED OF 96 NINTH-GRADE ALGEBRA STUDENTS, WHO WERE ASSIGNED TO EITHER OF…

This collection of 17 papers relating behavioral science theory to the process of experimental education grew out of a 1963 National Education Association symposium on research in programed instruction. Perspectives and the technology of programing are described in this updated and supplemental successor to the source book, "Teaching Machines…