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Teaching school mathematics: algebra. (English)
Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2721-4/hbk; 978-1-4704-3019-1/ebook). xix, 274~p. (2016).
Classification: H29 H39 I29 F59
1
Secondary teachers’ conception of various forms of complex numbers. (English)
J. Math. Teach. Educ. 18, No. 4, 327-351 (2015).
Classification: F59 C39
2
The case of the square root: ambiguous treatment and pedagogical implications for prospective mathematics teachers. (English)
Pope, Sue (ed.), Proceedings of the British Society for Research into Learning Mathematics (BSRLM). Proceedings of the British congress of mathematics education, BCME-8, University of Nottingham, UK, April 14‒17, 2014. London: British Society for Research into Learning Mathematics (BSRLM). 73-80 (2014).
Classification: F59 E49
3
What’s so special about 3? (English)
Math. Teach. (Reston) 108, No. 1, 71-75 (2014).
Classification: F69 F59 H39
4
How the knowledge of algebraic operation relates to prospective teachers’ teaching competency: an example of teaching the topic of square root. (English)
Liljedahl, Peter (ed.) et al., Proceedings of the 38th conference of the International Group for the Psychology of Mathematics Education “Mathematics education at the edge", PME 38 held jointly with the 36th conference of PME-NA, Vancouver, Canada, July 15‒20, 2014, Vol. 4. [s. l.]: International Group for the Psychology of Mathematics Education (ISBN 978-0-86491-360-9/set; 978-0-86491-364-7/v.4). 97-104 (2014).
Classification: F59 H19 D39 C39
5
Prospective teachers’ understanding of the constant $π$ and their knowledge of how to prove its constant nature through the concept of linearity. (English)
J. Korean Soc. Math. Educ., Ser. D, Res. Math. Educ. 18, No. 1, 1-29 (2014).
Classification: F59 G49 E59
6
Dynamic representations of complex numbers. Opportunities to learn in teacher training. (English)
Rezat, Sebastian (ed.) et al., Transformation ‒ a fundamental idea of mathematics education. New York, NY: Springer (ISBN 978-1-4614-3488-7/hbk; 978-1-4614-3489-4/ebook). 173-186 (2014).
Classification: F59 G79 U79 D39
7
Putting the modern in algebra. (English)
PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 23, No. 1, 1-12 (2013).
Classification: H39 F39 F49 F59 H49
8
Ordered number structures. (Uporządkowane struktury liczbowe.) (Polish. English summary)
Ann. Univ. Paedagog. Crac. 141, Stud. Didact. Math. Pertin. 5, 5-37 (2013).
Classification: H49 H59 F39 F49 F59
9
I thought I knew all about square roots. (English)
Smith, C. (ed.), Proceedings of the British Society for Research into Learning Mathematics (BSRLM). Vol. 32, No. 3. Proceedings of the day conference, University of Cambridge, UK, June 17, 2012. London: British Society for Research into Learning Mathematics (BSRLM). 43-48 (2012).
Classification: F59 D73
10
Elementary mathematics from a higher viewpoint: why is $0,\bar{9}=1$? (Elementarmathematik vom höheren Standpunkt: warum ist $0,\bar{9}=1$?) (German)
Blum, Werner (ed.) et al., Mathematikunterricht im Kontext von Realität, Kultur und Lehrerprofessionalität. Festschrift für Gabriele Kaiser. Heidelberg: Springer Spektrum (ISBN 978-3-8348-2388-5/pbk; 978-3-8348-2389-2/ebook). 249-264 (2012).
Classification: B50 F59
11
Understanding numbers in elementary school mathematics. (English)
Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5260-6/hbk). xxxii, 551~p. (2011).
Classification: F39 F49 F59 F99 B52 Reviewer: Mauro Garcia Pupo (Bogota)
12
Examining preservice elementary mathematics teachers’ understandings about irrational numbers. (English)
PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 21, No. 5, 401-416 (2011).
Classification: B50 F59
13
The mathematics that every secondary school math teacher needs to know. (English)
Studies in Mathematical Thinking and Learning Series. London: Routledge (ISBN 978-0-415-99413-2/pbk). 732~p. (2010).
Classification: D39 F69 F79 F59 G59 G69 G99 E39 E59 I29 M19
14
A note on the improvement of the education for (expected) teachers. (Korean. English summary)
East Asian Math. J. 26, No. 4, 581-597 (2010).
Classification: B50 F59 I99
15
Representing and defining irrational numbers: Exposing the missing link. (English)
Hitt, Fernando (ed.) et al., Research in collegiate mathematics education. VII. Providence, RI: American Mathematical Society (AMS); Washington, DC: Mathematical Association of America (MAA) (ISBN 978-0-8218-4996-5/pbk). CBMS Issues in Mathematics Education 16, 1-27 (2010).
Classification: B50 F59
16
Get the point? Developing teachers’ understanding of real numbers. (English)
Ohio J. Sch. Math. 2009, No. 59, 25-28 (2009).
Classification: F59
17
Elementary number theory. With the collaboration of Gerd Hinrichs. (Elementare Zahlentheorie.) 3rd ed. (German)
Mathematik Primar- und Sekundarstufe. Heidelberg: Spektrum Akademischer Verlag (ISBN 978-3-8274-1759-6/pbk). x, 302~p. (2008).
Classification: F69 F39 F49 F59 Reviewer: Franz Lemmermeyer (Jagstzell)
18
Geometrical definition of $π$ and its approximations by nested radicals. (English)
Teach. Math. 11, No. 1, 25-34 (2008).
19
Irrational numbers: The gap between formal and intuitive knowledge. (English)
Educ. Stud. Math. 65, No. 1, 49-76 (2007).
Classification: F59 F49 C39 B50
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