Mathematics achievement is positively associated with coding in the classroom. By making mathematical relationships visible to students as they code, teachers leverage rich connections between block-based computer programming and mathematical sense making. In this article, the authors describe strategies for adapting a Code.org lesson integrating…

In this article, a cognitive framework for observing learning activities based on human-computer coupling is proposed. The observation is based on the vectorization of a learning situation along with human-computer interaction factors. An evolutionary high-dimensional topology of learning cognitive flow is introduced for human-computer…

Understanding spatial reasoning is important to success in mathematics. This article shows how the proficiency strands in the "Australian Curriculum: Mathematics" provide the tools needed for effective teaching and learning of spatial thinking.

With the rise of personal desktop 3D printing, a wide spectrum of educational opportunities has become available for educators to leverage this technology in their classrooms. Until recently, the ability to create physical 3D models was well beyond the scope, skill, and budget of many schools. However, since desktop 3D printers have become readily…

A critical incident is a situation or event that holds significance for learning, both for the students and teachers. This paper presents four examples of critical incidents from a Year 7 teacher's lesson excerpts in Indonesia involving teaching of fractions, to show how they shaped classroom situation, brought forward elements of conflict, and…

Reports on the cost-effectiveness of four educational interventions and their effectiveness in raising student achievement in mathematics and reading. Research shows that tutoring yields the best results. (MD)

Because a significant portion of U.S. students lacks critical mathematic skills, schools across the country are investing heavily in computerized curriculums as a way to enhance education output, even though there is surprisingly little evidence that they actually improve student achievement. In this paper we present results from a randomized…

Describes a computer-assisted instruction program designed to help teachers develop and maintain continuously updated diagnostic records of student achievement. Gives hardware requirements and describes the program's eight components. These include deleting/changing records and lists, a testing manager, list producer, and student record reviewer.…

Conceptually, the laboratory approach is based on Maria Montessori's and Jean Piaget's theories that students learn through becoming involved and experiencing mathematics. Teaching them means creating situations where structures can be discovered and where students can verify and relate ideas to objects. Following a discussion of definitions and…

The Mathematics Improvement Component (MIC) was first implemented in the Columbus (Ohio) Public Schools in 1987-88 to assist elementary and middle school pupils who were low achievers in mathematics. Three programs comprised the 1989-90 MIC: the Elementary Computer Assisted Instruction (Elem-CAI) Program, the Elementary Competency Based Education…

A case study is presented of a second-grader whose parents receive a report that her reading and mathematics achievement is far below grade level, based on a newly implemented computer-based assessment and intervention program. Discussion concerns her previous grades, assessment results, the constructivist theory-based curriculum, and legal…

The Chapter 1 Corrective Mathematics Program provided supplementary mathematics instruction to Chapter 1-eligible students in New York City nonpublic schools. Its goals were to strengthen students' understanding of mathematical concepts, to improve their ability to perform computations and solve problems, and to assist them in applying the…

The social environment of today has necessitated revision in educators' beliefs about what students are considered to be at risk of failing to complete their education with adequate levels of skills. This book addresses this issue in the areas of mathematics and science and is intended as a curriculum and teacher training accompaniment that can…