Thinking is a tool to construct knowledge in learning mathematics. However, some college students have not been fully aware of the importance of constructing their knowledge. Therefore, this study aims to explore students' thinking processes in completing mathematical proofs through assimilation and accommodation schemes. This research was…

In abstract algebra, the study of concrete groups is fundamentally important to beginners. Most commonly used groups as examples are integer addition modulo n, real number addition and multiplication, permutation groups, and groups of symmetry. The last two examples are finite non-abelian groups and can be investigated with the aid of concrete…

Difficulties in mathematics learning are a multi-faceted issue and the role of language in it is crucial. Language of mathematics includes mathematics text, discourse in classroom and language used in evaluation situations with its specific verbal, symbolic expressions, structure and function. Ambiguity arising from the difference between formal…

There is increasing realization that mathematics-related self-efficacy expectations are a strong predictor of an array of significant mathematics outcomes. It is also evident that the curricular practice in schools largely neglects development of a student understanding in the unique language of mathematics. Consequently, this study probes how…

Aspects that influences mathematics learning is widely studied and language factors have been identified as a key backer to difficulties in learning Mathematics. It is evidenced that not only cognitive factors but also affective factors have vital role in learning mathematics. Such affective beliefs sources from various aspects of mathematics…

"Two and Two Make Zero" considers children's acquisition of numerical concepts from a wide range of perspectives including topics that are often overlooked, most notably: the principal properties of the counting numbers in and of themselves; the role that numerical symbols play in number acquisition; the underlying conceptual structure of number…

This study investigated how a teacher in a multilingual classroom attempted to support learners who are struggling to translate written/verbal mathematics into a symbolic form. Thirty-six Grade ten learners in one multilingual classroom in South Africa were given a written test involving one algebraic question and then a discussion on the solution…

All educators should be concerned about curriculum. Curriculum is the path to giving students the best possible education enveloping an in-depth learning experience. Dr. Kritsonis's "Ways of Knowing Through the Realms of Meaning" provides a guide for schools to select curriculum that is appropriate, rigorous, and enriched. Through alignment, Dr.…

With both high retirement and high attrition rates among educators and a nationwide increasing student population, more teachers are needed. With the impact of a teacher shortage, educational systems began to examine the alternative certification methods. Alternative routes to teacher education profoundly impact the teaching force. The "Ways…

This paper describes the background, methodology, preliminary findings, and anticipated future directions of a large-scale multi-year randomized field experiment addressing the efficacy of ST Math [Spatial-Temporal Math], a fully-developed math curriculum that uses interactive animated software. ST Math's unique approach minimizes the use of…

Algebra and calculus students have difficulties to express themselves in a statement of mathematical symbols and to comment on written mathematical statements to end with equivalent mathematical symbols statement. In this study, the reasons behind the meaning students load to the mathematical symbols and written mathematical statements was…