Selected publications
Foster, C.
(2013) Mathematical Études: Embedding
opportunities for developing procedural fluency within rich mathematical
contexts, International
Journal of Mathematical Education in Science and Technology, online first
Foster, C. (in press) Confidence Trick: The Interpretation of Confidence
Intervals, Canadian Journal for Science, Mathematics, and Technology
Education
Wake, G., Foster, C. and Swan, M. (in press) A theoretical lens on lesson
study: Professional Learning across boundaries. In xxxx (Eds). Proceedings
of the 37th Conference of the International Group for the Psychology of
Mathematics Education, Vol. 1, pp. XXX-YYY. Kiel, Germany: PME.
Foster, C. (2012) Working Without A Safety Net, The Australian Mathematics
Teacher, 68(2), 25–29
Foster, C. (2012) Creationism as a Misconception:
Socio-cognitive conflict in the teaching of evolution, International Journal of Science
Education, 34(14), 2171–2180
Foster, C. (2012) The Probability Distribution for a Biased Spinner, Teaching Statistics, 34(1), 41–43
Foster, C. (2011) Peripheral Mathematical Knowledge, For the Learning of Mathematics, 31(3), 24–26
Foster, C.
(2011) Student–Generated Questions in
Mathematics Teaching,
Mathematics Teacher, 105(1), 26–31
Foster, C. (2011) Productive Ambiguity in the Learning
of Mathematics, For
the Learning of Mathematics, 31(2), 3–7
Foster, C. (2011) A Slippery Slope: Resolving cognitive
conflict in mechanics,
Teaching Mathematics and its Applications, 30(4), 216–221
Other journal articles (peer-reviewed)
Foster, C. (in
press) Problems with Generalising: Pythagoras in n dimensions, Australian
Senior Mathematics Journal
Foster, C. (2012) Quadratic Doublets, Mathematical Gazette,
96(536), 96.30, 264–266
Foster, C. (2012) Squares Within Squares, Mathematical Gazette,
96(536), 96.47, 328–331
Foster, C. (2012) The Probability Distribution for a
Biased Spinner, Teaching
Statistics, 34(1), 41–43
Foster, C.
(2012) Symmetrical Cubics, Mathematical Gazette,
96(536), 96.07, 109–112
Foster, C. (2012) Orthogonal Mappings, Mathematical Gazette,
96(536), 96.08, 112–115
Foster, C. (2012) Taking a Short Cut Through Pascal’s
Triangle, Mathematical
Gazette, 96(536), 96.19, 142–145
Foster, C. (2012) When is a Parabola not a Parabola?, Mathematics Teacher, 105(7), March, 486–487
Foster, C. (2011) The Significance of a Square-Root Rule, The American Statistician, 65(4), 222
Foster, C. (2011) A Comment on Schnell and Mendoza, Mathematical Gazette, 95(533), 357
Foster, C.
(2010) A Fortuitous Value, Mathematical Gazette,
94(530), 335
Foster, C. (2009) Isometric Graphs, Mathematical Gazette,
93(527), 289–292
Foster, C. (2009) Knowing Your Limitations, Teaching
Statistics, 31(2), 59–60
Foster, C. (2008) Avoiding Pythagoras, Mathematical Gazette, 92(523), 110–111
Other publications
Foster, C. (2013)
Millionaire!, Teach Secondary, 2.5,
Foster, C. (2013) Non-Linear Inequalities, Mathematics in School,
42(3), 31–33
Foster, C. (2013) Growing Shapes, Teach Secondary, 2.4,
Foster, C. (2013) Precise Perimeters, Teach Secondary, 2.3, 30–32
Foster, C. (2013) A 3-Sided Story, Teach Secondary, 2.2, 32–34
Foster, C. (2013) Unequal Reasoning, Mathematics in School,
42(1), 19–21
Foster, C. (2013) Treat Creationism as a Misconception, Science Education Review, 11(3),
54–55
Back, J., Foster, C., Tomalin, J., Mason, J., Swan, M. and Watson, A. (2013) Tasks
and their place in mathematics teaching and learning – part 2, Mathematics Teaching, 232,
6–8
Foster, C. (2012) Connected Quadratics, Teach Secondary, 6, 46–48
Foster, C. (2012) Connected Expressions, Mathematics in School, 41(5), 32–33
Foster, C. (2012) Straight to the Point, Learning and Teaching
Mathematics, 13, 6–10
Foster, C. (2012) Shape Up, Teach Secondary, 5, 24–26
Back, J., Foster, C., Tomalin, J., Mason, J., Swan, M. and Watson, A. (2012) Tasks
and their place in mathematics teaching and learning – part 1, Mathematics Teaching, 231,
33–37
Foster, C. (2012) The What Factor?, Teach Secondary, 4, 56–58
Foster, C. (2012) Triangular Roots, Mathematical Spectrum,
45(1), 8–9
Foster, C. (2012) What’s the Point?, Teach Secondary, 3, 39–41
Foster, C. (2012) A Straight Question, Mathematics in School,
41(4), 31–34
Foster, C. (2012) Parking Problem,
Mathematics Teaching, 229, 47–48
Foster, C. (2012) Changing the Subject, Teach Secondary, 2, 33–35
Foster, C. (2012) HCF and LCM – Beyond Procedures, Mathematics in School,
41(3), 30–32
Foster, C. (2012) Trigonometry Without Right
Angles, Mathematical
Spectrum, 44(3), 98–101
Foster, C. (2012) Odd and Even Fractions, Mathematical Spectrum,
44(2), 69–72
Foster, C. (2012) A Day at the C-Side:
Introducing Pythagoras’ Theorem,
Teach Secondary, 1, 30–33
Foster, C. (2012) How to Manipulate Test Scores, The College Mathematics Journal,
43(2), 121–122
Foster, C. (2012) Plus–Minus Graphs, Mathematics in School,
41(2), 32–33
Foster, C. (2011) Rooting for You, Math Horizons, Playground
Problem 266, November, 30
Foster, C. (2011) A Picture is Worth a Thousand Exercises, Mathematics Teaching, 224,
10–11 (extra material)
Foster, C. (2011) Straight Dice,
Symmetry
Plus, 45(2), 9–10
Foster, C. (2011) Small Is Beautiful After All, Mathematics Teaching, 222,
38–39
Foster, C. (2011) Marking Time,
Mathematics Teaching, 222, 3–6
Foster, C. (2011) Clock Problem: 469, The New York State Mathematics
Teachers’ Journal, 61(2), 92
Foster, C. (2011) Table Settings, Symmetry Plus,
44(1),
6–7
Foster, C. (2011) Odd Questions Pupils Ask, Mathematics in School,
40(1), 34–35
Foster, C. (2010) A Formula for a Square Root, Mathematics Teaching, 220, 6
Foster, C. (2009) Consistency – it’s a foolish
obsession, SecEd,
206, 12 March, 6
Foster, C. (2009) Reflections On Editing MT 2005–2008, Mathematics Teaching, 212, 3
Foster, C. (2008) Connected Codes, Journal of Recreational
Mathematics, 37(2), 119–121
Foster, C. (2008) String Along, Times Educational Supplement –
Magazine, 28 November, 30
Foster, C. (2008) Dead Good, Times Educational Supplement –
Magazine, 21 November, 30
Foster, C. (2008) Add Some Fun, Times Educational Supplement –
Magazine, 7 November, 31
Foster, C. (2008) How Many Detentions Will I Get?, Mathematics in School,
37(5), 26–27
Foster, C. (2008) Anyone For Consistency?, Times Educational Supplement –
Magazine, 31 October, 62
Foster, C. (2008) Who Is Missing?, Times Educational Supplement –
Magazine, 24 October, 36
Foster, C. (2008) Exam Boards Should Stick To Examining, Times Educational Supplement,
26 September, 45
Foster, C. (2008) Ready To Shake On It, Times Educational Supplement,
5 September, 34
Foster, C. (2008) Element of Surprise Keeps Learning
Alive, Times
Educational Supplement, 8 August, 21
Foster, C. (2008) Touching Story, Times Educational Supplement –
Magazine, 18 July, 30
Foster, C. (2008) Making Twelve, Journal of Recreational Mathematics,
37(1), 74
Foster, C. (2008) Name Your Price, Times Educational
Supplement – Magazine, 6 June, 34
Foster, C. (2008) If The Answer
Is Instant, The Question Is Pointless,
Times
Educational Supplement, 23
May, 33
Foster, C. (2008) Higher Priorities, Mathematics in School,
37(3), 17
Foster, C. (2008) Leaping Around, Mathematics Teaching, 208,
48
Foster, C. (2008) All My Own Work?, SecEd, 170, 13 March, 7
Foster, C. (2008) You’re Having A Graph, Times Educational Supplement –
Magazine, 7 March, 58–59
Foster, C. (2008) In The Area, Times Educational Supplement –
Magazine, 25 January, 52
Foster, C. (2008) Beware The Rise Of Helicopter
Teachers, Times
Educational Supplement, 18 January, 29
Foster, C. (2011) Twenty–One Forever!, Journal of Recreational
Mathematics, 36(3), 194–195
Foster, C. (2007) Counting Cubes, Times Educational Supplement –
Magazine, 14 December, 45
Foster, C. (2007) Getting Your Bearings, SecEd, 156, 8 November, 12
Foster, C. (2007) Impossibility, Mathematics in School,
36(5), 13
Foster, C. (2007) Solving The X Factor, Times Educational Supplement – Magazine,
16 November, 48–49
Foster, C. (2007) Stage Fright Does Not Equal Lack Of
Involvement, Times
Educational Supplement, 12 October, 29
Foster, C. (2007) Pencils Make A Point, Times Educational Supplement – Magazine,
28 September, 48–49
Foster, C. (2007) Start Making Money, Times Educational Supplement –
Magazine, 21 September, 52
Foster, C. (2007) The Warwick Dials, Symmetry Plus, 34(3), 4
Foster, C. and Williams, H. (2007) Mathematics is a Spectator Sport, Mathematics Teaching,
204,
40–41
Foster, C. (2007) Line Multiplication, Mathematics Teaching, 203,
29
Foster, C. (2007) Make Maths Sparkle, SecEd, 24 May,
12
Foster, C. (2007) Pushing the Limits, Times Educational Supplement –
Magazine, 18 May, 50
Foster, C. (2007) A Degree of Confusion, Symmetry Plus,
33(2), 7
Foster, C. (2007) Triangles and Parabolas – The Hard
Part!, Symmetry Plus, 33(2), 3
Foster, C. (2007) Economies of Scale, Times Educational Supplement –
Magazine, 11 May, 54
Foster, C. (2007) There's a Positive Side to Negative
Marking, Times
Educational Supplement, 11 May, 27
Foster, C. (2007) Mathematical Behaviour, Mathematics Teaching,
202,
12–13
Foster, C. (2007) As Easy As 1, 2, 3, ...?, Mathematics
Today, 43(2), 76
Foster, C. (2007) Petrol–Pump Learning Won't Fuel
Thinking Skills, Times
Educational Supplement, 2 March, 27
Foster, C. (2007) Right–Angled Triangles and Parabolas, Symmetry Plus
32(1), 10–11
Foster, C. (2007) Stop Interrupting!, Equals,
13(1), 10–11
Foster, C. (2007) Introducing ... Maths–man!, Mathematics in School,
36(1), 15
Foster, C. (2007) Model Lessons Put Spontaneity in a
Straitjacket, Times
Educational Supplement, 5 January, 27
Foster, C. (2006) To Infinity and Beyond, Times Educational Supplement – Magazine,
24 November, 54
Foster, C. (2006) A Different Pictorial Way of Looking
at Simultaneous Equations,
Mathematics
in School, 35(5), 20–21
Foster, C. (2006) Targets Miss the Point, Times Educational Supplement,
17 November, 27
Foster, C. (2006) Emily's Discovery, Mathematics Teaching,
199,
30–31
Foster, C. (2006) Anamorphic Art, Mathematics Teaching,
199,
24–25
Foster, C. (2006) Asking Questions, Mathematics in School,
35(4), 24
Foster, C. (2006) Pointless Compasses?, SecEd, 14
September, 113, 13
Foster, C. (2006) 'Wordsworth' Puzzle, Mathematics Teaching,
196,
48
Foster, C. (2006) Tessellations in Word, Mathematics Teaching,
196,
24–25
Foster, C. (2006) '2006' Puzzle, Mathematics Teaching,
195,
48
Foster, C. (2006) My Accidental Parabola, Mathematics Teaching,
195,
33
Foster, C. et al. (2006) How Do We Get Them Going?, Times Educational Supplement: Friday, 20 January
Foster, C. (2006) Preparing the Lesson or Preparing the
Teacher?, Report:
Association of Teachers and Lecturers, January, 11
Foster, C. (2006) Webwatch, Mathematics Teaching,
194,
47
Foster, C. (2006) Getting Confused, Mathematics Teaching,
194,
18
Foster, C. (2005) Reflections,
Mathematics
Teaching, 192, 2
Foster, C. (2005) What We Did In Our Easter Holiday!, Mathematics Today,
41(3), 71–72
Foster, C., Galligan, L., Mackrell, K., Mason, J., Melville, A., Piggott, J.
and Watson, A. (2005) Freedom and Constraint, Mathematics Teaching,
191,
37–39
Foster, C. (2005) Another Look at Revision, Mathematics Teaching,
191,
6–7
Foster, C. (2005) Slippery Slopes, Mathematics in School,
34(3), 33–34
Foster, C. (2005) Golden Opportunities for Creativity, Mathematics Teaching,
190,
26–27
Foster, C. (2004) Differences over Differences Methods:
Pros and Cons of Different Ways of Finding the Nth Term of a Sequence of
Numbers, Mathematics
in School, 33(5), 24–25
Foster, C. (2004) Trapezium Artist: Some Thoughts on
the Formula for the Area of a Trapezium, Mathematics in School, 33(5), 6–7
Foster, C. (2004) Y8 Area Lesson, Mathematics Teaching, 188,
31
Foster, C. (2004) The Nth Term, Mathematics Teaching, 188,
30–31
Foster, C. (2003) Mean Difference, Times Educational Supplement:
Teacher, 14 March, 5
With thanks to ATM for permission to post the pdf versions of my Mathematics Teaching articles above.
Forthcoming
Foster, C. () Using
Possibility Tables to Stimulate Learner-Generated Mathematical Examples
Foster, C. () Resisting Reductionism in Mathematics Education
Foster, C. () Are you sure? Confidence and Competence in the Learning of Mathematics
Foster, C. () Minimal Interventions in the Teaching of Mathematics
Foster, C. () Harnessing Mathematical Moments: Exploiting serendipity in the
mathematics classroom
Books
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© Colin Foster 2013