Elementary standards include multiplication of single-digit numbers and students advance to solve complex problems and demonstrate procedural fluency in algorithms. The ability to illustrate procedural fluency in algorithms is dependent on the development of understanding and reasoning in multiplication. Development of multiplicative reasoning…

This classroom-based action research aimed to determine the applicability of implementing Collaborative Learning in online setting to help students develop their interaction with one another and improve their academic performance. Participants of the study consisted of Grade 8 intact pilot section of a public school in an urban community which…

Following state legislation mandating corequisite support in lieu of remedial prerequisites for underprepared students, this article tells the story of a specific corequisite program piloted in South Texas. Our model transformed certain sections of our institution's first-year seminar into corequisite courses, which were paired with required…

The issue of this article is to identify and discuss what conditions may be necessary to build into tasks to make it likely for students to be involved in an algebraic Learning Activity inspired by Davydov. Data from a pilot study was used in which a group of students (N = 28) in grade 1 (7-year-olds) were invited to participate in discussions and…

This work describes a formative assessment model for a Mathematical Analysis course taken by engineering students. It includes online quizzes with feedback, a portfolio with weekly assignments, exams involving the use of mathematical software and a project to be completed in small groups of two or three students. The model has been perfected since…

This pilot case study of two teachers and their learner groups from Adult and Community settings, investigates how numeracy teachers, working with adult learners in discrete numeracy classes, motivate and enable learners to build on their informal skills and apply new learning to their own real-life contexts. Teachers used a range of abstract and…

This paper focuses on the design, implementation and evaluation of an online game for elementary and middle school mathematics. Its aim is twofold: (a) the development of the prototype of a flexible and adaptable computer game, and (b) the evaluation of this prototype, as to its usability and technical aspects. The particular computer game was…

This report describes the conduct and outcomes of an experimental pilot study conducted in Spring 2004 to develop and test a model that aimed to enhance career and technical education (CTE) instruction with the mathematics already embedded in the curricula of six occupational areas. Although present in the CTE curriculum, math is largely implicit…

The following objectives of the study are discussed in detail: 1) to determine if a successful experimental field study of incentives could be implemented; 2) to develop and refine the methodology required to carry off a large-scale field study of incentives based on six models; and 3) to obtain a preliminary estimate of the effects of incentives…

Programs for computer-assisted instruction (CAI) which were developed at Stanford University from 1963-70 are described, and prospects for CAI in the 1970's are considered briefly. The programs include ones in arithmetic, logic, and reading for elementary grades and in basic Russian and remedial algebra for college students. Of these, the logic…

This is the story of Barbara Shoemaker and her work as an Appalachian Rural Systemic Initiative (ARSI) Teacher Partner in Oneida, Tennessee. It is the story of what she values and the experiences that shaped her approach to education. In particular it is about what she learned from her experience with the Appalachian Rural Systemic Initiative, and…