Quantitative Reasoning and the Sine Function: The Case of Zac

2014 ◽  
Vol 45 (1) ◽  
pp. 102-138 ◽  
Author(s):  
Kevin C. Moore

A growing body of literature has identified quantitative and covariational reasoning as critical for secondary and undergraduate student learning, particularly for topics that require students to make sense of relationships between quantities. The present study extends this body of literature by characterizing an undergraduate precalculus student's progress during a teaching experiment exploring angle measure and trigonometric functions.

2014 ◽  
Vol 107 (8) ◽  
pp. 616-623 ◽  
Author(s):  
Kevin C. Moore ◽  
Kevin R. LaForest

A connected introduction of angle measure and the sine function entails quantitative reasoning.


2021 ◽  
Author(s):  
José Ricardo e Souza Mafra ◽  
Angel Pena Galvão

Technologies are key alternative resources in the classroom. In relation to the teaching of mathematics, educational robotics can contribute to the development of learning and skills, where the use of technologies in education – as an important resource in educational development – proves to be increasingly permanent and present in our teaching environments. This book brings discussions and reflections on a teaching experiment, based on the use of robotics for the teaching of mathematics, showing the importance of technologies and their contribution to Education. The development of this proposal was organized according to a set of activities, through experiments in educational robotics, carried out in the computer lab of a municipal school, with students from the 7th year of elementary school, in the city of Santarém, state of Pará. The results obtained showed that the development of knowledge in technological areas encourages students to learn and collaborates for their interest, providing moments of significant learning within the discipline of Mathematics. As a result, the use of educational robotics in pedagogical practice resulted in participation, development of critical thinking and student learning, as well as contributing to the debate, involving discussions about interdisciplinarity between different areas of knowledge, such as education, mathematics and informatics.


Author(s):  
Pamela Lee Grant

The purpose of this chapter is to provide information about the use of caring and trust within the undergraduate classroom as it may apply to self-directed learning. Some evidence of the relationship between caring and trust is provided through a recent study by the author. Malcolm S. Knowles' Designs for Adult Learning demonstrates the use of both caring and trust within the self-directed learning framework. The method used by Knowles takes a caring approach to student learning that is based in trust between the educator and student.


2017 ◽  
Vol 46 (1) ◽  
pp. nse2017.02.0003
Author(s):  
Abby E. Neu ◽  
Marshall D. Stern ◽  
Krishona L. Martinson

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