Journal

A Semester-Long Flipped Calculus Course for Pre-Service Teachers in Singapore NG Wee Leng, TEO Kok Ming, WONG Khoon Yoong, and KWAN Kang Ling National Institute of Education Nanyang Technological University Singapore Published in The Mathematician Educator, 2021, Vol 2, No. 2, pp 107-126. Abstract This paper reports on a study on a semester-long flipped university […]

Revealing Prospective Secondary Teachers’ Mathematical Knowledge for Teaching in Teacher-Created Representations of Practice Alyson E. Lischka*, Yvonne Lai^, Lindsay Czap*, and Jeremy F. Strayer* *Middle Tennessee State University United States of America ^University of Nebraska-Lincoln United States of America Published in The Mathematician Educator, 2021, Vol 2, No. 2, pp 86-106. Abstract To examine differences

Twelve Erroneous Proofs TOH Pee Choon National Institute of Education Nanyang Technological University Singapore Published in The Mathematician Educator, 2021, Vol 2, No. 2, pp 76-85. Abstract Assessing how well students understand proofs is difficult. One way to achieve this is to present an erroneous proof and require students to identify the error. Twelve erroneous

Tangrams: On Attention and Error TAY Eng Guan National Institute of Education Nanyang Technological University Singapore Published in The Mathematician Educator, 2021, Vol 2, No. 2, pp 67-75. Abstract Even in mathematics, a lack of attention may result in a publication with errors. This article postulates a reason why errors are made in mathematics and

Contents Tangrams: On Attention and Error by TAY Eng Guan (pp. 67-75) Twelve Erroneous Proofs by TOH Pee Choon (pp. 76-85) Revealing Prospective Secondary Teachers’ Mathematical Knowledge for Teaching in Teacher-Created Representations of Practice by Alyson E. Lischka, Yvonne Lai, Lindsay Czap and Jeremy F. Strayer (pp. 86-106) A Semester-Long Flipped Calculus Course for Pre-Service

A Tri-Lens Approach for Unpacking Teachers’ Design of Instructional Materials CHIN Sze Looi, CHOY Ban Heng, and LEONG Yew Hoong National Institute of Education Nanyang Technological University Singapore Published in The Mathematician Educator, 2021, Vol 2, No. 1, pp 47-62. Abstract Teacher-designed notes and worksheets are common instructional materials used in Singapore mathematics classrooms that

A Listing Approach for Counting Problems NG Wai Kuen, and LEONG Yew Hoong Nanyang Polytechnic Singapore National Institute of Education Nanyang Technological University Singapore Published in The Mathematician Educator, 2021, Vol 2, No. 1, pp 33-46. Abstract It is well-known that Counting Problems are difficult for many students. Mistakes such as the wrong use of

Visualising Infinite Sums as a Study in Shifts of Attention John MASON Open University & University of Oxford United Kingdom Published in The Mathematician Educator, 2021, Vol 2, No. 1, pp 11-32. Abstract A method of depicting the sum of finite and infinite geometric progressions with ratio at most 1/2 is extended in various ways

Fallacies about the Derivative of the Trigonometric Sine Function TOH Tin Lam, TAY Eng Guan, and TONG Cherng Luen National Institute of Education Nanyang Technological University Singapore Published in The Mathematician Educator, 2021, Vol 2, No. 1, pp 1-10. Abstract In this paper, several fallacies about the extension of the formula $\frac{d}{dx} (\sin x) =

Contents Fallacies about the Derivative of the Trigonometric Sine Function by TOH Tin Lam, TAY Eng Guan and TONG Cherng Luen (pp. 1-10) Visualising Infinite Sums as a Study in Shifts of Attention by John MASON (pp. 11-32) A Listing Approach for Counting Problems by NG Wai Kuen and LEONG Yew Hoong (pp. 33-46) A