Generating different lesson designs and analyzing their effects: The impact of representations when discerning aspects of the derivative

Abstract

Att urskilja grafiska aspekter av derivata GOTHENBURG STUDIES IN EDUCATIONAL SCIENCES 446 Att urskilja grafiska aspekter av derivata -hur elevernas möjligheter påverkas av innehållets behandling i undervisningen Ulf Ryberg Att urskilja grafiska aspekter av derivatahur elevernas möjligheter påverkas av innehållets behandling i undervisningen Ulf Ryberg © ULF RYBERG, 2020 ISBN 978-91-7963-018-8 (tryckt) ISBN 978-91-7963-019-5 (pdf)

Deskripsi Kinerja dan Eksplorasi Kesulitan Belajar Siswa SMA dalam Menyelesaikan Masalah Kalkulus

“…Kalkulus merupakan salah satu bidang kajian matematika sekolah menengah atas matematika perguruan tinggi yang meliputi limit, turunan, integral, dan deret takhingga (Brijlall & Jubilee, 2019;Pino-Fan et al, 2017;Ryberg, 2018). Ruang lingkup materi matematika sekolah menengah atas (SMA) yang diujikan UN adalah aljabar, kalkulus, geometri, dan pengukuran, dan statistik (Cory & Garofalo, 2011;Sangwin & Jones, 2017;Swinyard, 2011).…”

Lärarstudenters undervisning av virtuella elever

“…Hence, it is crucial for teacher educators to create situations where preservice teachers (PSTs) can develop their teaching skills. To do so, teacher educators need to understand (a) what constitutes good teaching (Grossman & Dean, 2019), (b) how PSTs teach and what challenges they face (Ryberg, 2018), and (c) how to create powerful learning sessions for PSTs' teaching (Grossman et al, 2009). Knowledge of PSTs' teaching and their qualities will help teacher educators develop effective teaching strategies for PSTs, as the foundation for all teaching is an awareness of the learners' abilities (Marton, 2015).…”

Mathematical Reasoning Required when Students Seek the Original Graph from a Derivative Graph

“…In prior studies, there seems to be an agreement that understanding a concept involves the ability to interpret concepts from various representations, including from verbal, numerical, and visual ones (Berry & Nyman, 2003;Ryberg, 2018;Zandieh & Knapp, 2006). Graphs are one of the essential visual representations that can link various topics in mathematics, for instance, representing relationships between quantities, searching for the behaviour of functions, seeking unknown values, and exploring geometric transformation (Moore et al, 2013).…”