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A look at two algebra tasks involving sequential data, that seem to prompt a scalar rather than function approach to the underlying linear relation. (English)
Adams, G. (ed.), Proceedings of the British Society for Research into Learning Mathematics (BSRLM). Vol. 35, No. 3. Proceedings of the day conference, University of Reading, UK, November 7, 2015. London: British Society for Research into Learning Mathematics (BSRLM). 72-77 (2016).
Classification: H23 I23 D53
1
Teaching algebra. I: Standpoints on elementary algebra and its teaching. (Apprentissages algébriques. I: Points de vue sur l’algèbre élémentaire et son enseignement.) (French. English summary)
Ann. Didact. Sci. Cogn. 21, 117-152 (2016).
Classification: E40 H20
2
Diagnosis ‒ too much effort? (Diagnose ‒ viel zu aufwendig?) (German)
PM Prax. Math. Sch. 58, No. 70, 43-47 (2016).
Classification: D40 D60
3
The challenge of heterogeneity. Fundamental concepts as a basis and reference standard ‒ the example of terms. (Herausforderung Heterogenität. Grundvorstellungen als Basis und Bezugsnorm ‒ das Beispiel Terme.) (German)
PM Prax. Math. Sch. 58, No. 70, 2-8 (2016).
Classification: D33 D43 H23
4
Skid marks on the schoolyard. Determining braking distances and brake factors. (Bremsspuren auf dem Schulhof. Bremswege und Bremsfaktoren bestimmen.) (German)
Mathematik 5 bis 10 35, 30-33 (2016).
Classification: I23 M53 H23 D83
5
Exploration of polynomials through the use of code word solutions. (English)
Ohio J. Sch. Math. 73, 1-3 (2016).
Classification: I20 H20
6
A path to mathematical terminology. From matchstick equations to equivalent transformations. (Ein Weg zur Fachsprache. Von Streichholzgleichungen und Äquivalenzumformungen.) (German)
PM Prax. Math. Sch. 58, No. 69, 41-46 (2016).
Classification: H23 H33 E43 C53
7
Box full of mathematics. (English)
Ohio J. Sch. Math. 73, 31-36 (2016).
Classification: G43 H23 U63 M80
8
Revisiting equal sums. (English)
Ohio J. Sch. Math. 73, 10-12 (2016).
Classification: A20 F60 H20
9
The optimal area of a goal. Should football goals be higher and therefore a bit more narrow? (Die optimale Torfläche. Sollten Fußballtore höher und dafür ein bisschen schmaler sein?) (German)
PM Prax. Math. Sch. 58, No. 68, 42-43 (2016).
Classification: D83 H23 G33 D53
10
Digital support. Incorporating digital tools into learning stations. (Digitale Unterstützung. Einbeziehung digitaler Werkzeuge in die Stationenarbeit.) (German)
Mathematik 5 bis 10 34, 20-23 (2016).
Classification: D43 D83 H23 U73
11
Second graders articulating ideas about linear functional relationships. (English)
J. Math. Behav. 41, 87-103 (2016).
Classification: I22 C52
12
Fundamental knowledge and abilities in upper secondary education. Mixed mental-arithmetic problems as an instrument to keep basic knowledge and skills alive. (Grundlegendes Wissen und Können in der Oberstufe. Vermischte Kopfübungen als Instrument zum Wachhalten von Grundwissen und -können.) (German)
PM Prax. Math. Sch. 58, No. 67, 36-41 (2016).
Classification: D50 D60
13
Challenge: always a good thing? (English)
Adams, G. (ed.), Proceedings of the British Society for Research into Learning Mathematics (BSRLM). Vol. 35, No. 2. Proceedings of the day conference, Durham University, UK, June 6, 2015. London: British Society for Research into Learning Mathematics (BSRLM). 7-12 (2015).
Classification: D43 D53 H23 C23
14
Understanding algebra graphs using SmartGraphs. (English)
Math. Teach. (Reston) 109, No. 5, 387-390 (2015).
Classification: U73 H33 I23
15
High-leverage apps for the mathematics classroom: WolframAlpha. (English)
Math. Teach. (Reston) 109, No. 1, 66-70 (2015).
Classification: U70 K40 I20 H30 M10
16
Expression polygons. (English)
Math. Teach. (Reston) 109, No. 1, 62-65 (2015).
Classification: H33 D53
17
(Residential) towers ‒ tremendously big. A holistic approach to algebraic terms that is provoking to speak. ((Wohn-)Türme ‒ riesig groß. Ein ‒ zum Sprechen provozierender ‒ ganzheitlicher Zugang zu algebraischen Termen.) (German)
Lernchancen 18, No. 104, 6-9 (2015).
Classification: H23 C53 E43 D43 D83
18
Regulating the teaching of elementary algebra by differentiated teaching routes. (Réguler l’enseignement en algèbre élémentaire par des parcours d’enseignement différencié.) (French. English summary, Spanish summary)
Rech. Didact. Math. 35, No. 3, 273-312 (2015).
Classification: D43 H23
19
Experiments with term templates. Actively exploring the term structure of algebra. (Experimente mit Termschablonen. Die Termstruktur der Algebra handelnd erkunden.) (German)
PM Prax. Math. Sch. 57, No. 65, 9-13 (2015).
Classification: D43 D83 F43 H23
20
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