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And the rest is just algebra. (English)
Cham: Springer (ISBN 978-3-319-45052-0/hbk; 978-3-319-45053-7/ebook). xx, 238~p. (2017).
Classification: A60 H20 H30 F10 C30 D70 D30
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1
How does space interact with numbers? (English)
Khine, Myint Swe (ed.), Visual-spatial ability in STEM education. Transforming research into practice. Cham: Springer (ISBN 978-3-319-44384-3/hbk; 978-3-319-44385-0/ebook). 241-263 (2017).
Classification: C40 F10 C90 D70
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2
Astonishing mathematical short stories. Selected articles of the young offshoot of the journal Die Wurzel. (Überraschende mathematische Kurzgeschichten. Ausgewählte Artikel des jungen Ablegers der Zeitschrift „Die Wurzel“.) (German)
Wiesbaden: Springer (ISBN 978-3-658-13894-3/pbk; 978-3-658-13895-0/ebook). viii, 156~p. (2017).
Classification: A60 F10 K10 I10 G10 H10
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3
History of number. Evidence from Papua New Guinea and Oceania (to appear). (English)
History of Mathematics Education. Cham: Springer (ISBN 978-3-319-45482-5/hbk; 978-3-319-45483-2/ebook). xi, 325~p. (2017).
Classification: A30 F10
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4
Change and invariance. A textbook on algebraic insight into numbers and shapes. (English)
Rotterdam: Sense Publishers (ISBN 978-94-6300-698-9/hbk; 978-94-6300-697-2/pbk; 978-94-6300-699-6/ebook). xiii, 392~p. (2016).
Classification: F10 G40
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5
Mathematics as adventure. Experiencing will form the basis of teaching. Vol. 2. Algebra and vector analysis. (Mathematik als Abenteuer. Erleben wird zur Grundlage des Unterrichtens. Band 2. Algebra und Vektrorrechnung.) 4th edition. (German)
Seelze: Klett/Kallmeyer (ISBN 978-3-7727-1004-9/hbk). 335~p. (2016).
Classification: D80 D30 F10 G10 H20 H30
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6
Teaching mathematics. Foundations to middle years. 2nd edition. (English)
South Melbourne: Oxford University Press (ISBN 978-0-19-552382-9/pbk). 800~p. (2016).
Classification: D30 F10 H20 H30 G40 K40 K50 C30
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7
Elementary mathematics from a higher standpoint. Volume I: Arithmetic, algebra, analysis. Translated from the 4th German edition by Gert Schubring. (English)
Berlin: Springer (ISBN 978-3-662-49440-0/pbk; 978-3-662-49442-4/ebook; 978-3-662-49515-5/set). xx, 312~p. (2016).
Classification: F10 H40 I10
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8
Math makes sense! A constructivist approach to the teaching and learning of mathematics. (English)
Hackensack, NJ: World Scientific (ISBN 978-1-78326-863-4/hbk; 978-1-78326-864-1/pbk; 978-1-78326-866-5/ebook). xi, 277~p. (2016).
Classification: D30 D40 F10 G40 K40 K50 A20 U70
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9
Adventure algebra. For active discovery and independent development. (Erlebnis Algebra. Zum aktiven Entdecken und selbstständigen Erarbeiten.) (German)
Mathematik Primarstufe und Sekundarstufe I + II. Heidelberg: Springer Spektrum (ISBN 978-3-662-46296-6/pbk; 978-3-662-46297-3/ebook). ix, 264~p. (2016).
Classification: H10 F10 K20
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10
Mathematics for elementary school teachers. 6th edition. (English)
Boston, MA: Brooks/Cole, Cengage Learning (ISBN 978-1-305-07136-0/pbk). 704~p. (2016).
Classification: F19 G19 H19 K19
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11
Methodological innovations in the lecture “Arithmetic" for prospective primary school teachers. (Methodische innovationen in der veranstaltung “Arithmetik” für das Lehramt Grundschule.) (German)
Hoppenbrock, Axel (ed.) et al., Lehren und Lernen von Mathematik in der Studieneingangsphase. Herausforderungen und Lösungsansätze. Wiesbaden: Springer Spektrum (ISBN 978-3-658-10260-9/pbk; 978-3-658-10261-6/ebook). Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik, 51-66 (2016).
Classification: D49 D39 F19 B50
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12
On numbers: concepts, operations, and structure. (English)
Gutiérrez, Ángel (ed.) et al., The second handbook of research on the psychology of mathematics education. The journey continues. Rotterdam: Sense Publishers (ISBN 978-94-6300-560-9/hbk; 978-94-6300-559-3/pbk; 978-94-6300-561-6/ebook). 39-71 (2016).
Classification: F10 C30
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13
Learning pathways within the multiplicative conceptual field. Insights reflected through a Rasch measurement framework. (English)
Empirische Studien zur Didaktik der Mathematik 24. Münster: Waxmann (ISBN 978-3-8309-3289-5/pbk). 248~p. (2015).
Classification: F10 C30
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14
Consolidation of mathematics for primary education ‒ arithmetic/number theory. (Vertiefung Mathematik Primarstufe ‒ Arithmetik/Zahlentheorie.) 2nd edition. (German)
Mathematik Primarstufe und Sekundarstufe I + II. Heidelberg: Springer Spektrum (ISBN 978-3-662-45986-7/pbk; 978-3-662-45987-4/ebook). xv, 254~p. (2015).
Classification: F19
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15
The field of tension between symbols and meaning during the development of the number system. (Das Spannungsfeld zwischen Zeichen und Bedeutung beim Aufbau des Zahlensystems.) (German)
Reinhold, Simone (ed.) et al., Mathematische Studien im Spannungsfeld von Geschichte, Philosophie \& Didaktik der Mathematik. Festschrift für Thomas Bedürftig. Münster: WTM-Verlag (ISBN 978-3-942197-46-5/pbk). Festschriften der Mathematikdidaktik 2, 29-44 (2015).
Classification: F10 A30 D20 C30
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16
The numbers. A construction based on set theory for establishing the foundations of analysis. (Construction basée sur la théorie des ensembles en vue d’ériger les fondements de l’analyse.) (French)
Paris: Hermann, Éditeurs des Sciences et des Arts (ISBN 978-2-7056-9095-3/pbk). x, 291~p. (2015).
Classification: F10
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17
Infinite and infinite makes two. (Oneindig en oneindig is twee.) (Dutch)
Uitwiskeling 31, No. 1, 16-45 (2015).
Classification: E60 F10 I10 E40
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18
Arithmetic. Parts I, II and III complete, with answers. 2nd edition, reprint of the 1957 hardback edition. (English)
Cambridge: Cambridge University Press (ISBN 978-1-107-59477-7/pbk). xiii, 470~p. (2015).
Classification: F10
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19
Lectures and problems: a gift to young mathematicians. Translated by Dmitry Fuchs and Mark Saul. (English)
MSRI Mathematical Circles Library 17. Providence, RI: American Mathematical Society (AMS); Berkeley, CA: Mathematical Sciences Research Institut (MSRI) (ISBN 978-1-4704-2259-2/pbk). viii, 176~p. (2015).
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