Students’ understanding of trigonometric functions

Weber, Keith

doi:10.1007/bf03217423

Cited by 105 publications

(109 citation statements)

References 5 publications

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“…Gur (2009) noted that errors committed by students in learning trigonometry may useful for the teacher in evaluating his teaching so as to be able to correct the students as appropriate. Therefore, teachers must ensure that the teaching of mathematical concepts must be balanced with the arithmetic skills.The findings from present study is consistent with previous reports (Delice, 2002;Intanku 2003;Weber, 2005;Brown, 2006, Zakaria, 2010.…”

Section: Discussionsupporting

confidence: 93%

“…Fi (2003) states that much of the literature on trigonometry has focused on trigonometric functions. A few researchers studied more specific issues in trigonometry such as simplification of trigonometric expressions and metaphors (Delice, 2002;Weber, 2005;Presmeg 2006Presmeg , 2007. Brown (2006) studied students" understanding of sine and cosine.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of Students’ Error in Learning of Trigonometry Among Senior Secondary School Students in Zaria Metropolis, Nigeria.

Usman¹,

Hussaini²

2017

IOSR JM

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Section: Discussionsupporting

confidence: 93%

Section: Introductionmentioning

confidence: 99%

Analysis of Students’ Error in Learning of Trigonometry Among Senior Secondary School Students in Zaria Metropolis, Nigeria.

Usman¹,

Hussaini²

2017

IOSR JM

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“…However, as the meaning and terms on trigonometric ratios isn't dealt through the connection of the right triangle and quadrant (circle), students' earlier questions is still left unsolvable and students' understanding is not yet fulfilled. Weber (2006) mentioned the goal of teaching and learning mathematics as follows:…”

Section: Trigonometric Ratios In School Mathematicsmentioning

confidence: 99%

Toward Students' Full Understanding of Trigonometric Ratios

Yi¹,

Yoo²,

Lee³

2013

Research in Mathematical Education

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Trigonometric ratios are difficult concepts to teach and learn in middle school. One of the reasons is that the mathematical terms (sine, cosine, tangent) don't convey the idea literally. This paper deals with the understanding of a concept from the learner's standpoint, and searches the orientation of teaching that make students to have full understanding of trigonometric ratios. Such full understanding contains at least five constructs as follows: skill-algorithm, property-proof, use-application, representation-metaphor, history-culture understanding [Usiskin, Z. (2012). What does it mean to understand some mathematics? In: Proceedings of ICME12, COEX, Seoul Korea; July 8-15,2012 (pp. 502-521). Seoul, Korea: ICME-12]. Despite multi-aspects of understanding, especially, the history-culture aspect is not yet a part of the mathematics class on the trigonometric ratios. In this respect this study investigated the effect of history approach on students' understanding when the history approach focused on the mathematical terms is used to teach the concept of trigonometric ratios in Grade 9 mathematics class. As results, the experimental group obtained help in more full understanding on the trigonometric ratios through such teaching than the control group. This implies that the historical derivation of mathematical terms as well as the context of mathematical concepts should be dealt in the math class for the more full understanding of some mathematical concepts.

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“…This topic combines algebra, geometry and graphical reasoning and the basis of the calculus, physics, architecture, surveying, and engineering. Trigonometry was considered among the topics which are difficult to master by pupils [20], [21], [22], [23], [24], [25], [26], [27], [28], [29]. Pupils need to comprehend various rules and procedure that cannot be expressed as algebraic formula.…”

Section: Introductionmentioning

confidence: 99%

“…Pupils need to comprehend various rules and procedure that cannot be expressed as algebraic formula. According to [26], pupils avoid and view Trigonometry as "a fraught with difficulty". Pupils seem have trouble reasoning Trigonometry operation.…”

Section: Introductionmentioning

confidence: 99%