In the research conducted, the relationship between teaching complexity and children’s mathematical thinking was investigated in 4 ‘reform’ classes and 1 conventional elementary class (7-8 years). Forty lessons were analyzed for the type of teaching and children’s mathematical thinking revealed during class discussion. The results indicate increased complexity in teaching and level of children’...

Mathematical symbolism in general—and symbolic algebra in particular—is among mathematics’ most powerful intellectual and practical tools. Knowing mathematics well enough to use it effectively requires a degree of comfort and ease with basic symbolics. Helping students acquire symbolic fluency and intuition has traditionally been an important, but often daunting, goal of mathematics education. ...

I think mathematical ability manifests itself in many different ways. In particular, mathematicians can be drawn to space and geometry, can have strong analytic intuition, can be drawn to formalism, they can be drawn to counting arguments, etc. There is definitely no unique type of mathematician. Maybe those mathematicians who are drawn to algorithmic thinking have found a home in computer scie...

<p style="text-align: justify;">Prospective teachers facing the 21st century are expected to have ability solve problems with a computer mindset. Problems in learning mathematics also require concept of computational thinking (CT). However, many still find it challenging this problem. The subjects study were twenty-one prospective who took number theory courses, and then two research samp...

Presently, computational thinking (CT) is considered necessary for adapting to the future. Concurrently, COVID-19 pandemic has accentuated demand strengthening Environmental Education as a means improve sustainability and stimulate environmental protection public health. Having in mind that CT does not concern only technocrats but also applies solving everyday problems, we introduce novel idea ...

Mathematical symbolism generally—and symbolic algebra in particular—is among mathematics’ most powerful intellectual and practical tools. Knowing mathematics well enough to use it effectively requires a degree of comfort and ease with basic symbolics. Helping students acquire symbolic fluency and intuition has traditionally been an important, and sometimes daunting, goal of mathematics educatio...

Mathematics of all sciences is often regarded as the one most purely based on reason. Yet, it evokes intensive emotions in many people; they either love it or hate it. There is no doubt that affect is closely intertwined with mathematical thinking and learning. The question is: “How?” What are the concepts we need to describe these relationships? What kinds of mechanisms bind affect with mathem...

ion is the isolation of specific attributes of a concept so that they can be considered separately from the other attributes. Abstraction is often coupled with generalization. But the two are by no means synonymous. For instance, the solution of linear equations in two variables may be seen as a generalization to the process of solving linear equations in three variables. Although one may argue...