In an interplay between the Fundamental Theorem of Arithmetic and topology, this paper presents material for a capstone seminar that expands on ideas from number theory, analysis, and linear algebra. It is designed to generate an immersive way of learning in which students discover new connections between familiar concepts, create definitions, and…

The integration of technology in entrepreneurship arithmetic that uses realistic mathematic education as the basis into learning processes is instrumental in creating understanding and problem-solving abilities among students. However, until recently only a few technology-based learning media have been developed to accommodate the aforementioned…

This research aims to analyze ways of understanding of students with mathematics learning disabilities when learning fraction. The research was conducted in an Inclusive Junior High School in the West Java Province, Indonesia. This study is qualitative, with the single-case (holistic) designs. The case will focus on three students who suspected of…

Proportional thinking, which requires understanding fractions, ratios, and proportions, is an area of mathematics that is cognitively challenging for many children and adolescents (Fujimura, 2001; Lamon, 2007; Lobato, Ellis, Charles, & Zbiek, 2010; National Mathematics Advisory Panel [NMAP], 2008) and "transcends topical barriers in adult…

The purpose of this article is to examine one possible extension of greatest common divisor (or highest common factor) from elementary number properties. The article may be of interest to teachers and students of the "Australian Curriculum: Mathematics," beginning with Years 7 and 8, as described in the content descriptions for Number…

Elementary education students (n=141) were asked to estimate answers to 25 arithmetic problems. Half were presented the problems in an application (word problem) format, and the other half received the same problems in a computational format. Results indicated higher success levels with the applied format which is contradictory to previous results…

The aim of this study was to investigate and validate the use of a computerized testing program for the diagnosis of arithmetic difficulties experienced by primary school children. The basic research question was whether a microcomputer could be used to diagnose difficulties in addition, subtraction and multiplication as well as a paper-and-pencil…

These item specifications were developed as a part of the Arkansas "Minimum Performance Testing Program" (MPT). There is one item specification for each instructional objective included in the MPT. The purpose of an item specification is to provide an overview of the general content and format of test items used to measure an…

The Skill Acquisition Measures (SAM) were designed by the Lancaster (Pennsylvania) School District as criterion referenced tests for mathematics. This manual consists of copies of the student test forms for level 6, with additional information for the teacher's use. Each of the test items is presented with the correct answers and the criteria for…

The Skill Acquisition Measures (SAM) were designed by the Lancaster (Pennsylvania) School District as criterion referenced tests for mathematics. This manual consists of copies of the student test forms for level 2, with additional information for the teacher's use. Each of the test items is presented with the correct answers and the criteria for…

The Skill Acquisition Measures (SAM) were designed by the Lancaster (Pennsylvania) School District as criterion referenced tests for mathematics. This manual consists of copies of the student test forms for level 4, with additional information for the teacher's use. Each of the test items is presented with the correct answers and the criteria for…

These item specifications were developed as a part of the Arkansas "Minimum Performance Testing Program" (MPT). There is one item specification for each instructional objective included in the MPT. The purpose of an item specification is to provide an overview of the general content and format of test items used to measure an…

The Skill Acquisition Measures (SAM) were designed by the Lancaster (Pennsylvania) School District as criterion referenced tests for mathematics. This manual consists of copies of the student test forms for level 5, with additional information for the teacher's use. Each of the test items is presented with the correct answers and the criteria for…

These item specifications were developed as a part of the Arkansas "Minimum Performance Testing Program" (MPT). There is one item specification for each instructional objective included in the MPT. The purpose of an item specification is to provide an overview of the general content and format of test items used to measure an…

These materials were developed in the course of research on "Cognitive Growth through Peer Collaboration." Materials were developed and adapted for teaching spatial reasoning and logical reasoning to fourth grade students. The document contains: (1) descriptions of the various tasks involved; (2) outlines of each of the activities which were…