White Papers. These white papers explore mathematical issues of interest to educators and provide a research basis for the Conceptua Math curriculum.
Blended learning, which combines group learning guided by a teacher, with student learning that takes place independently on a computer, holds significant promise for shifting how we educate our students. It's true potential lies in using technology to amplify teacher expertise and provide differentiated and personalized instruction for all students. This report details several models for how schools are using Conceptua Math in blended learning environments.
There is much discussion in the mathematics education community about the importance of conceptual and visual learning. Practitioners of evolved math methods, from Singapore Math to Common Core math, describe the sequence from concrete, to representational, to abstract. The technical and curriculum development teams at Conceptua Math have been applying these principles to two of the most difficult subjects in K–8 mathematics: multiplying and dividing fractions. This paper will describe the Conceptua approach and elucidate a system where conceptual, visual, and abstract learning help students achieve deep understanding.
Fractions are hard to teach, and difficult for students to learn. At the same time, fractions are a pivotal topic in mathematics education. Strategic use of technology can help support the teacher-student collaboration required to master this wide-ranging subject area. This paper explores challenges and solutions in teaching fractions. In addition, it provides a research basis for the Conceptua Fractions curriculum.