Developing students' mathematical knowledge is the key focus of stakeholders involved in mathematics education. At the senior secondary level, for students' undertaking calculus-focused courses, teachers expect students to be fluent in applying procedures related to junior level content and understand the nature of mathematics as a web of…

In the U.S. the fifth-grade mathematics curriculum is largely devoted to building fraction skills, providing an essential foundation for future success in mathematics (National Mathematics Advisory Panel, 2008). Unfortunately, students in the U.S. struggle with fraction proficiency (National Assessment of Educational Progress, 2022; Organisation…

Recent research on the scaffolding of instruction has widened the use of the term to include forms of support for learners provided by, amongst other things, artefacts and computer-based learning environments. This paper tackles the important and under-researched issue of how mathematics lessons in junior high schools can be designed to scaffold…

As part of a math-science partnership, a university mathematics educator and ten elementary school teachers developed a novel approach to mathematical problem solving derived from research on reading and writing pedagogy. Specifically, research indicates that students who use graphic organizers to arrange their ideas improve their comprehension…

This paper shows the basic concept of Functional Modelling in mathematics education which has become more and more important in recent years. Hence it is necessary to think about suitable graphical methods to explain the fundamental idea of a function and its influence on values and other functions. PROGRAPH diagrams are a potentially good way to…

A method of teaching introductory statistics using student-selected project topics is described. Several activities are noted, with a model for student research projects. (MNS)

Three teaching ideas are presented: a way to solve problems based on the attitude to the hypotenuse in a right triangle, some interesting applications of percentages in determining pay raises, and a flowchart guide for reducing polynomials. (MP)

Flow diagrams developing cube roots and formulas for the square, sphere, cube, circle and sector, oblong, and cylinder are presented. Some comments on their use, along with calculators, are included. (MNS)

A problem from a course called "Introduction to Gambling" is described. A flowchart and a computer program are included. (MNS)

A special flowchart for computer programming, known as a structure chart, emphasizes sequence, selection and repetition within basic programs. (MP)

The study was designed to investigate: (1) the relative effectiveness of three techniques for teaching verbal problem solving to general education mathematics students in a junior college; and (2) the relationships between various student variables and problem-solving ability after treatment. Three classes (N=72) at Florida College were randomly…

Studies whether students' stated preferences for flowcharts or pseudocodes match their actual behaviors. Provides a review of the literature on flowchart utility. Reports that students preferred flowcharts to pseudocodes. Lists an example of both a flowchart and pseudocode. (MVL)