2014
DOI: 10.1080/10511970.2013.857374
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Introducing Algebraic Structures through Solving Equations: Vertical Content Knowledge for K-12 Mathematics Teachers

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Cited by 29 publications
(27 citation statements)
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“…A Tarefa 2 tem como objetivo apresentar a construção lógico-formal dos números racionais enquanto classes de equivalência de pares ordenados de números inteiros, além de explorar a coletividade dos axiomas (WASSERMAN, 2014), fazendo emergir a estrutura algébrica corpo.…”
Section: Funclassified
“…A Tarefa 2 tem como objetivo apresentar a construção lógico-formal dos números racionais enquanto classes de equivalência de pares ordenados de números inteiros, além de explorar a coletividade dos axiomas (WASSERMAN, 2014), fazendo emergir a estrutura algébrica corpo.…”
Section: Funclassified
“…Whereas, Basturk (2010) asserts that evidence and proof are considered to be the most important mathematical activities by mathematicians and mathematical educators, so it is reasonable that in abstract algebra, a proof is the most important part of learning. Algebra and algebraic structures are important aspects of algebraic thinking for students of secondary schools and universities (Wasserman, 2014). Understanding of abstract algebra can influence the teaching of structure in early algebra (Wasserman, 2017) so that the proof structure is the part that must be possessed by a Mathematics pre-service teacher like the students of Mathematics Education Study Program as a teacher candidate in secondary school.…”
Section: Introductionmentioning
confidence: 99%
“…This question is answered in Novotna & Hoch's (2008) study which revealed that students' difficulties in algebraic structures (abstract algebra) are partly due to a lack of understanding of structural ideas in arithmetic. According to Wasserman (2014), the idea of the basics of algebraic structure in arithmetic properties is important, because it is used to assume certain properties about addition and multiplication. The arithmetic properties are known that they can form the axiomatic foundation of the algebraic structure needed, even in the early stages of algebraic reasoning by manipulating and solving equations (Wasserman, 2014).…”
Section: Introductionmentioning
confidence: 99%
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