2016
DOI: 10.17159/sajs.2016/20160139
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Formulating tasks to develop HOTS for first-year calculus based on Brookhart abilities

Abstract: We describe an approach to develop higher-order thinking skills (HOTS) among first-year calculus students. The ideas formulated by Brookhart to develop HOTS were used to identify from the literature three core abilities that should be targeted. Then eight expected learning outcomes for the development of HOTS were documented, in the context of the study of first-year university calculus. Those expected outcomes were used to formulate sample tasks that were designed to target the development of the eight abilit… Show more

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Cited by 7 publications
(14 citation statements)
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“…As Tall (2008) described it in the second stage of his theory TWM, which he called the Proceptual-symbolic, where the tasks used to build the relationship between the different representations of concept, and to form a clear conceptualization of concepts Calculus. That result coincided with the Maharaj & Wagh's (2016) study in the application of tasks that rely on higher thinking skills that helped students to develop their understanding of calculus.…”
Section: Findings and Discussionsupporting
confidence: 75%
See 3 more Smart Citations
“…As Tall (2008) described it in the second stage of his theory TWM, which he called the Proceptual-symbolic, where the tasks used to build the relationship between the different representations of concept, and to form a clear conceptualization of concepts Calculus. That result coincided with the Maharaj & Wagh's (2016) study in the application of tasks that rely on higher thinking skills that helped students to develop their understanding of calculus.…”
Section: Findings and Discussionsupporting
confidence: 75%
“…It also includes conceptual and procedural knowledge of how to deal with the situation. Maharaj and Wagh (2016) pointed out that building a conceptual structure in mathematics must be structured and logical to students, who should be taught mathematics for relational understanding of the mathematical concepts of Calculus. Accordingly, the Conference Board of the Mathematical Sciences (CBMS, 2016) recommended that the higher education institutions in general, and mathematics department faculties in particular, should integrate active learning in classrooms based on integration between science, technology, engineering, and mathematics; and need to be well informed about active learning and related topics.…”
Section: Flipped Classroom Strategy Based On Critical Thinking …mentioning
confidence: 99%
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“…Prospective mathematics teachers need to develop the extent of mathematical thinking ability in solving HOTS problems. Based on research (Maharaj & Wagh, 2016) suggest getting used to and practicing HOTS questions among students so that HOTS thinking patterns are no longer something new but must be used to be done in the learning process in the classroom. The test instrument or commonly called a question is one of the measuring instruments used to detect students' algebraic thought processes.…”
Section: Introductionmentioning
confidence: 99%