The way students who want to become teachers represent their mathematical reasoning when they solve problems—using case studies and qualitative techniques. Data were gathered from the vignette results of student work. They are using snowball sampling for subject selection. Three third-semester mathematics education program participants served as study's research subjects—ways gathering data, su...

Interdisciplinary approach recommended for use in the teaching mathematics last decade, related literature shows that limited study focused on reflection of interdisciplinary practice. The aim this is to evaluate pre-service teachers’ task development processes approaches through building and coding tasks. Research was conducted with 28 teachers studying at a education department Turkey. Data w...

“Computational mathematics” (algorithmic mathematics) is the part of mathematics that strives at the solution of mathematical problems by algorithms. In a superficial view, some people might believe that computational mathematics is the easy part of mathematics in which trivial mathematics is made useful by repeating trivial steps sufficiently many times on current powerful machines in order to...

Modernization and the ever-increasing trend of introducing modern technologies into various areas everyday life require school graduates with programming skills. The ability to program is closely related computational thinking, which based on algorithmic thinking. It well known that thinking students work algorithms understood as a systematic description problem-solving strategies. Algorithms c...

<span>The purpose of this study is to create a digital educational game that promotes algorithmic thinking for elementary school students. However, the processes development differ from traditional software which cannot guarantee its effectiveness in terms human-machine interfaces. In article, we propose new engineering (GDSE) as model development. This aims complement and mitigate shortc...

An axiomatic theory represents mathematical knowledge declaratively as a set of axioms. An algorithmic theory represents mathematical knowledge procedurally as a set of algorithms. A biform theory is simultaneously an axiomatic theory and an algorithmic theory. It represents mathematical knowledge both declaratively and procedurally. Since the algorithms of algorithmic theories manipulate the s...