This article explores the educational and philosophical contributions of Nikolai V. Bugaev, a prominent 19th-century Russian mathematician and founder of the Moscow philosophical-mathematical school. The study specifically focuses on Bugaev's textbook, "Arithmetic of Whole Numbers," analyzing Bugaev's pedagogical approaches within the…

There has been a massive shift in teaching quantitative political research since the "Journal of Political Science Education" was launched in 2004. Smartphones were an anomaly, and it was uncommon to have laptops in the classroom. Statistical calculations were sometimes done by "statisticians", i.e., professional staff who did…

This book presents 28 practical case studies in detail and 49 case studies in brief. The collection of these case studies focuses on one or more aspects of exploration and practice on the following topics: smart campus and smart classroom, resource construction and sharing, new teaching mode, comprehensive quality evaluation of students, teacher…

This research report presents the final year results of a three-year research project on computational thinking (CT). The project, funded by the National Science Foundation, involved training teachers in grades four through six to implement Scalable Game Design and LEGO® EV3 robotics during afterschool clubs. Thirty teachers and 531 students took…

As expectations of the economic impact of educational attainment are soaring (Hanushek & Woessmann, 2009) and conjectures about successful national educational reforms (Mourshed, Chijioke, & Barber, 2010) are welcomed by educational policy-makers in many countries, a careful assessment of the empirical evidence for these kinds of claims is…

This is a powerful critique of two decades of educational reform in New Zealand, from an educator who was deeply involved. It is also a provocative call for action. Bali Haque has been both a secondary school principal required to implement reform and a senior public servant in the New Zealand Qualifications Authority (NZQA) tasked with pushing…

This study investigated curriculum influences on student mathematics achievement by following two groups of students from fifth to sixth grade that were taught either the reformed curriculum or the conventional curriculum. Analyses with three-level modeling were conducted to examine learning outcomes of the students who were assessed three times…

Despite questions about validity and reliability, the use of value-added estimation methods has moved beyond academic research into state accountability systems for teachers, schools, and teacher preparation programs (TPPs). Prior studies of value-added measurement for TPPs test the validity of researcher-designed models and find that measuring…

A changing, economically competitive world has necessitated reform in mathematics education. Yet mathematics anxiety has been a prevalent concern among educators and others in our society for decades. Some students tend to be more anxious about the testing process and can often freeze up, others just cringe when they are confronted with any form…

Performance-based accountability along with budget tightening has increased pressure on publicly funded organizations to develop and deliver programs that produce meaningful social benefits. As a result, there is increasing need to undertake formative evaluations that estimate preliminary program outcomes and identify promising program components…

Curriculum reform aimed at improving students' reasoning strategies for calculating was the focus of a research project in which the authors participated along with two school communities in regional Victoria. Another focus of the research was assisting teachers to gain insight into how their students approached calculations. This article explores…

This mixed-methods study assessed the effects of Enhanced Anchored Instruction (EAI) on the math performance of adolescents with learning disabilities in math (MLD). A quasi-experimental pretest-posttest control group design with switching replications was used to measure students' computation and problem-solving skills on EAI compared to control…

Many people believe that the 1989 National Council for Teachers of Mathematics (NCTM) standards heralded the biggest mathematics reform of the 20th century. Despite all reform efforts, recent studies indicate that mathematics taught in primary and middle school mainly consists of basic arithmetic tasks that use memorization and repetition. Today…

A range of estimation techniques are described, and a series of mental computation procedures based on concepts of measurement and real numbers are presented in detail. (MP)

This essay discusses the possible types of uses of calculators in the elementary school, citing several publications, articles, and research studies. (MP)