In this article, the author will demonstrate how gestures--often used in combination with offloading information on scratch paper--can be used to help students with difficulties in mathematics succeed with secondary level algebra. The authors will provide key examples from three studies of the algebra learning of students with mathematics…

Fractions are troublesome for many children, especially students with learning difficulties and disabilities in mathematics. To address this serious educational concern, this article recommends the use of number lines to build fraction sense. Math activities that center on the number line build fraction concepts as early as third grade. A number…

Cara, a seventh-grade student with learning disabilities (LD) in mathematics, believes that the ratio 2:3 is equivalent to 4:5 because there is a difference of one between the two numbers in each ratio and there is a difference of two between corresponding numbers in the two ratios (2 + 2 = 4 and 3 + 2 = 5). This misconception affects her ability…

Ratios and proportions are foundational to student understanding across multiple topics in mathematics and science. In mathematics, they are central to developing concepts and skills related to slope, constant rate of change, and similar figures, which are all fundamental to algebraic concepts and skills. This article examines the importance of…

Developing proficiency in algebra is the focus of instruction in high school mathematics courses and is a minimum expectation for high school completion for all students including those with learning difficulties. However, the foundation for success is laid in grades 4-8 (aged 9-14). In this paper, we assert that students' development of algebraic…

Many students who struggle with basic mathematics courses benefit from digital instructional technologies, including additional visual and supplemental materials on difficult concepts and skills. Currently, the intelligent tutoring technology feature in the learning management system (LMS) should make it easier for students to deal with material…

Describes the process of modifying a program that focuses on computer-directed instruction in a developmental algebra course that was not producing the positive results expected. Emphasizes integrating classroom instruction along with a laboratory, either a computer or classroom laboratory. (Author/KHR)

Traditionally, students learn arithmetic throughout their primary schooling, and this is seen as the ideal preparation for the learning of algebra in the junior secondary school. The four operations are taught and rehearsed in the early years and from this, it is assumed, "children will induce the fundamental structure of arithmetic" (Warren &…

High school algebra and geometry teachers use graphing calculators extensively in their classes today. National and state mathematics curriculum standards recommend their use for class work, tests and assignments. Because of recent legislation, including "IDEA 2004" and "No Child Left Behind", most students with mild…

Examines teachers' judgments of the difficulties of algebra problems. Offers classroom-tested instructional approaches that build directly on students' mathematical intuitions and inventions. (KHR)

Describes learning-disabled algebra classes offered at Bergen Community College, their structure, teaching and learning strategies used in the classes, and successful outcomes. Concludes that students with learning disabilities can learn algebra when their environment focuses on their needs and learning styles. (KHR)

High school students continue to struggle in algebra, especially in large inner-city schools with underprivileged students. Students are not the only ones skirmishing with algebra. Teachers and school leaders are just as frustrated as they search for answers to complex teaching and learning problems. Two high school principals report the results…

The ability to express one's mathematical thoughts in writing and computational proficiency can be viewed as reflecting different aspects of an individual's understanding of mathematics. Computational proficiency is the primary means used by educators to assess students' understanding of mathematics and thus in the mathematics classroom, cognitive…