Why can’t calculus students access their knowledge to solve non-routine problems?

2001 ◽  
pp. 128-153 ◽  
Author(s):  
Annie Selden ◽  
John Selden ◽  
Shandy Hauk ◽  
Alice Mason
Keyword(s):  
Calculus Students

Calculus Students’ Understanding of Volume

2013 ◽  
Vol 6 (2) ◽  
pp. 48-68 ◽  
Author(s):  
Allison Dorko ◽  
Natasha M. Speer
Keyword(s):  
Calculus Students

scholarly journals Formulating tasks to develop HOTS for first-year calculus based on Brookhart abilities

2016 ◽  
Vol Volume 112 (Number 11/12) ◽  
Author(s):  
Aneshkumar Maharaj ◽  
Vivek Wagh ◽  
◽  
Keyword(s):  
Higher Order Thinking ◽  
Thinking Skills ◽  
General Definition ◽  
First Year ◽  
Higher Order Thinking Skills ◽  
A Value ◽  
Mathematical Exploration ◽  
Calculus Students ◽  
First Year University ◽  
Value Judgement

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 abilities. A pilot study was done to determine whether the tasks had the high mathematical demand envisaged. It was found that about 37% of the participants did not give any response to the tasks. Further it was found that about 31% of the participants were able to critically evaluate a given possible solution to a problem and make a value judgement. It is recommended that to promote HOTS among students, the formulation of tasks should focus on developing the following abilities: interpreting a general definition or statement in the context of a given model; translating a worded or graphically represented situation to relevant mathematical formalisms; identifying possible applications of mathematics in their surroundings; identifying linkages between groups of concepts and interpreting these linkages in the context of a model; working systematically through cases in an exhaustive way; critically evaluating one’s and others’ presented solutions to a problem; interpreting and extending solutions of problems; and using with reasonable skill available tools for mathematical exploration.

The Coffee Cup Caustic for Calculus Students

1997 ◽  
Vol 28 (4) ◽  
pp. 277-284 ◽  
Author(s):  
Brian J. Loe ◽  
Nathaniel Beagley
Keyword(s):  
Calculus Students

Short notices - At home with your calculator, by Andrew Rothery. Pp 51. 95p. 1980. ISBN 0 245 53526 8 (Harrap) - The calculator game book for kids of all ages, by Arlene Hartman. Pp 190. $1·50. 1977. ISBN 0 45107399 1 (Signet) - Cross Maths 1 and 2, by H. D. Saxton. 98p and £1·10. 1979 and 1980. ISBN 0 7131 0397 3/0459 7 (Edward Arnold) - Mathematical statistical mechanics, by Colin J. Thompson. Pp 278. £3·35. 1979. ISBN 0 691 08220 0 (Princeton University Press) - The Penguin book of mathematical and statistical tables, by R. D. Nelson. Pp 64. 95p. 1980. ISBN 0 14 051097 4 (Penguin) - Essentials of mathematics (4th edition), by Russell V. Person. Pp 865. £12. 1980. ISBN 0 471 05184 5 (Wiley) - Basic algebra, by Marvin Schlichting. Pp 388. £11·20. 1980. ISBN 0 442 25765 1 (Van Nostrand) - Notes on mathematics in primary schools, bymembers of the Association of Teachers of Mathematics. Pp 340. £3·50. Reissued 1979. ISBN 0 900095 06 7 (Association of Teachers of Mathematics) - Numerical solution of differential equations, byM. K. Jain. Pp 443. £7·50. 1979. ISBN 0 85226 427 5 (Wiley Eastern) - Algebra and trigonometry refresher for calculus students, by Loren C. Larsen. Pp 192. £3·10. 1979. ISBN 0 7167 1110 9 (Freeman) - Mathematics for decisions, by Helen B. Siner and others. Pp 502. £11·95. 1979. ISBN 0 442 27651 6 (Van Nostrand Reinhold) - A history of mathematics (3rd edition), byFlorian Cajori. Pp 524. $18·50. 1980. ISBN 0 8284 0303 1 (Chelsea) - Unified mathematics, byJ. B. Morgan and K. S. Snell. Book 4. Pp 346. £1·80. 1977. ISBN 0 521 21298 7 (Cambridge University Press) - House maths, byN. S. Armstrong and others Pupils’ book Teacher’s guide. Pp 32, 11. 60 p, 90 p. 1976. ISBN 0 216 90211 8/90212 6 (Blackie)

1980 ◽  
Vol 64 (430) ◽  
pp. 304-306
Keyword(s):  
Differential Equations ◽  
Statistical Mechanics ◽  
Numerical Solution ◽  
Primary Schools ◽  
History Of Mathematics ◽  
Penguin Book ◽  
Cambridge University ◽  
Princeton University ◽  
Calculus Students ◽  
History Of

A Home Heating Model for Calculus Students

1996 ◽  
Vol 27 (5) ◽  
pp. 394-397
Author(s):  
Prashant S. Sansgiry ◽  
Constance C. Edwards
Keyword(s):  
Home Heating ◽  
Calculus Students ◽  
Heating Model

Imagine Yourself in This Calculus Classroom

2007 ◽  
Vol 100 (6) ◽  
pp. 394-401
Author(s):  
Luajean Bryan
Keyword(s):  
Data Collection ◽  
Balloon Flight ◽  
Hot Air ◽  
Calculus Students

The efforts to attract students to precalculus, trigonometry, and calculus classes became more successful when projects-based classes were offered. Data collection from an untethered hot air balloon flight for calculus students was planned to maximize enrollment. The data were analyzed numerically, graphically, and algebraically. The project made calculus more meaningful and memorable for students.

An Intriguing Exponential Inequality

2009 ◽  
Vol 103 (1) ◽  
pp. 50-55
Author(s):  
John Robert Perrin
Keyword(s):  
Analytical Solution ◽  
Exponential Inequality ◽  
Graphical Solution ◽  
Calculus Students

An algebra problem with a graphical solution challenges precalculus and calculus students to determine an analytical solution.

Microcomputer-assisted mathematics: Graph Many Functions, Part 1

1985 ◽  
Vol 78 (3) ◽  
pp. 195-200
Author(s):  
Clark Kimberling
Keyword(s):  
High Resolution ◽  
Calculus Students

High-resolution graphics provides an excellent way for precalculus and calculus students to discover the properties of functions by graphing them.

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