The programmed instruction helps each student gain knowledge with different time or sequences, depending on available knowledge, ability, and learning speed. With this method, students can perform self-evaluation and self-regulation in learning activities. This article presents the application of the programmed instruction method in designing the…

The research aim was to obtain a Sociocultural Theory-oriented Mathematics Learning Model with "Tri Hita Karana" insight that is valid, practical, and effective in developing the good character of students in learning mathematics. This research was a research and development with reference to the development of Plomp. The data collection…

Scientific reasoning is an important skill that encompasses hypothesizing, experimenting, inferencing, evaluating data and drawing conclusions. Previous research found consistent inter- and intra-individual differences in children's ability to perform these component skills, which are still largely unaccounted for. This study examined these…

The capacity to recognise, represent, and reason about relationships between different quantities, that is, to think multiplicatively, has long been recognised as critical to success in school mathematics in the middle years and beyond. Building on recent research that found a strong link between multiplicative thinking and algebraic, geometrical,…

Speeded tests set time limits so that few examinees can reach all items, and power tests allow most test-takers sufficient time to attempt all items. Educational achievement tests are sometimes described as "timed power tests" because the amount of time provided is intended to allow nearly all students to complete the test, yet this…

Principals (policymakers) disagree as to whether U. S. student performance has changed over the past half century. To inform conversations, agents administered seven million psychometrically linked tests in math (m) and reading (rd) in 160 survey waves to national probability samples of cohorts born between 1954 and 2007. Estimated change in…

An established research base exists for using video modeling to teach students with severe disabilities. However, the application of this strategy for teaching academic skills to students with a learning disability is less known, particularly in secondary mathematics. Video modeling provides a resource for supplementary instruction using…

Partners to Lead (PtL) is a school leadership professional development (PD) project funded by a 5-year Education Innovation and Research grant and implemented by the DuPage, Illinois, Regional Office of Education (ROE) in 37 public elementary, middle, and high schools in four Illinois ROEs. The American Institutes for Research® (AIR®), the…

Understanding the long-standing educational inequities associated with socioeconomic status remains significant for transforming educational policies and practices. To better understand entanglements among socioeconomic status and students' performance in mathematics, we examined different home factors (including language of the test) that…

Given the ongoing development of computer-based tasks, there has been increasing interest in modelling students' behaviour indicators from log file data with contextual variables collected via questionnaires. In this work, we apply a latent regression model to analyse the relationship between latent constructs (i.e., performance, speed, and…

Two broad categories of instructional practices, (a) explicitly attending to concepts and (b) fostering students' opportunities to struggle, have been consistently linked to improving students' mathematical learning and achievement. In this article, we describe an effort to build these practices into a framework that is useful for a diverse set of…

This study aimed to compare different mediation analysis methods (BK, Sobel, and bootstrapping) based on single mediation models for groups of different sizes. For this purpose, the PISA 2012 data for Turkey were used. In order to compare the mediation analysis methods, 4,848 students from Turkey that participated in PISA 2012 were divided into…

To contribute to the sparse educational research on student understanding of eigenspace, we investigated how students reason about linear combinations of eigenvectors. We present results from student reasoning on two written multiple-choice questions with open-ended justifications involving linear combinations of eigenvectors in which the…

The numeracy capabilities of pre-service teachers are a recent focus in the Australian educational system. In this article, we discuss findings from an analysis of data from the Literacy and Numeracy Test for Initial Teacher Education Students (LANTITE), which is administered by the Australian Council for Educational Research. In our analysis, we…

The purpose of this study was to compare students' results in mathematics from a large-scale standardized assessment, the National Assessment Program: Literacy and Numeracy (NAPLAN), with a set of teacher-developed, school-based assessments. A case study of an all-boys secondary school in Sydney, New South Wales, Australia, was conducted over…