Sharing Teaching Ideas: The Significance of the “Insignificant” Constants

1989 ◽  
Vol 82 (3) ◽  
pp. 186a-188
Keyword(s):  
Calculus Students ◽  
Teaching Ideas

My calculus students are often irritated when I deduct a point for the omission of the constant of integration. However, the following examples will usually convince them that the constants are not just another picky detail that they must remember.

Sharing Teaching Ideas: Why Not Three Dimensions?

1999 ◽  
Vol 92 (7) ◽  
pp. 560-567
Author(s):  
Steve Legé ◽  
Mark Fidler
Keyword(s):  
High School ◽  
School Curriculum ◽  
Three Dimensions ◽  
Spatial Skills ◽  
High School Curriculum ◽  
Calculus Students ◽  
Second Year ◽  
Teaching Ideas

When I reviewed our high school curriculum, I realized that my students did not have enough practice with situations that required analysis in three dimensions. Few situations that applied the threedimensional ideas studied in geometry were found in second-year algebra and precalculus, and calculus students faced with rotations that produced solids had very little experience to help them with the visualizations required. As a response, I developed several projects that I integrated into my courses at all three levels. What follows are descriptions of a three-year sequence of projects that help to develop students' spatial skills. The photographs are all examples of student-produced work.

Sharing Teaching Ideas: A Prop Is Worth Ten Thousand Words

1999 ◽  
Vol 92 (1) ◽  
pp. 27-28
Author(s):  
Carol M. Critchlow
Keyword(s):  
Cross Sections ◽  
Calculus Students ◽  
Teaching Ideas ◽  
Solids Of Revolution

I find that calculus students have great trouble visualizing solids of revolution and their cross sections. To help them, I resort to a wide variety of props.

scholarly journals Frameworks for understanding the nature of interactions, networking, and community in a social networking site for academic practice

2011 ◽  
Vol 12 (3) ◽  
pp. 119 ◽  
Author(s):  
Grainne Conole ◽  
Rebecca Galley ◽  
Juliette Culver
Keyword(s):  
Social Networking ◽  
New Technologies ◽  
Social Networking Site ◽  
Current Debate ◽  
User Interactions ◽  
Academic Practice ◽  
User Behaviour ◽  
Learning And Teaching ◽  
Changing Patterns ◽  
Teaching Ideas

This paper describes a new social networking site, Cloudworks, which has been developed to enable discussion and sharing of learning and teaching ideas/designs and to promote reflective academic practice. The site aims to foster new forms of social and participatory practices (peer critiquing, sharing, user-generated content, aggregation, and personalisation) within an educational context. One of the key challenges in the development of the site has been to understand the user interactions and the changing patterns of user behaviour as it evolves. The paper explores the extent to which four frameworks that have been used in researching networked learning contexts can provide insights into the patterns of user behaviour that we see in Cloudworks. The paper considers this within the current debate about the new types of interactions, networking, and community being observed as users adapt to and appropriate new technologies.

Calculus Students’ Understanding of Volume

2013 ◽  
Vol 6 (2) ◽  
pp. 48-68 ◽  
Author(s):  
Allison Dorko ◽  
Natasha M. Speer
Keyword(s):  
Calculus Students

scholarly journals Formulating tasks to develop HOTS for first-year calculus based on Brookhart abilities

2016 ◽  
Vol Volume 112 (Number 11/12) ◽  
Author(s):  
Aneshkumar Maharaj ◽  
Vivek Wagh ◽  
◽  
Keyword(s):  
Higher Order Thinking ◽  
Thinking Skills ◽  
General Definition ◽  
First Year ◽  
Higher Order Thinking Skills ◽  
A Value ◽  
Mathematical Exploration ◽  
Calculus Students ◽  
First Year University ◽  
Value Judgement

Abstract We describe an approach to develop higher-order thinking skills (HOTS) among first-year calculus students. The ideas formulated by Brookhart to develop HOTS were used to identify from the literature three core abilities that should be targeted. Then eight expected learning outcomes for the development of HOTS were documented, in the context of the study of first-year university calculus. Those expected outcomes were used to formulate sample tasks that were designed to target the development of the eight abilities. A pilot study was done to determine whether the tasks had the high mathematical demand envisaged. It was found that about 37% of the participants did not give any response to the tasks. Further it was found that about 31% of the participants were able to critically evaluate a given possible solution to a problem and make a value judgement. It is recommended that to promote HOTS among students, the formulation of tasks should focus on developing the following abilities: interpreting a general definition or statement in the context of a given model; translating a worded or graphically represented situation to relevant mathematical formalisms; identifying possible applications of mathematics in their surroundings; identifying linkages between groups of concepts and interpreting these linkages in the context of a model; working systematically through cases in an exhaustive way; critically evaluating one’s and others’ presented solutions to a problem; interpreting and extending solutions of problems; and using with reasonable skill available tools for mathematical exploration.

The Coffee Cup Caustic for Calculus Students

1997 ◽  
Vol 28 (4) ◽  
pp. 277-284 ◽  
Author(s):  
Brian J. Loe ◽  
Nathaniel Beagley
Keyword(s):  
Calculus Students

scholarly journals Construction and Implementation of Teaching Mode for Digital Mapping based on Interactive Micro-course Technology

2018 ◽  
Vol 13 (02) ◽  
pp. 21
Author(s):  
Ning Gao
Keyword(s):  
Learning Styles ◽  
Learning Style ◽  
Classroom Organization ◽  
Teaching Mode ◽  
Self Evaluation ◽  
Internet Education ◽  
Digital Mapping ◽  
Engineering Department ◽  
Evaluation Of Learning ◽  
Teaching Ideas

The era of “Internet + education” has caused reforms in teaching ideas, teaching modes, and learning styles. The emergence of micro-course technology provides new strategies for integrating learning styles. Task-driven digital mapping teaching, known as traditional classroom organization, has poor teaching effect due to single learning style and strategy. A new teaching mode for digital mapping was constructed in this study based on micro-course technology by combining interactive micro-course technology and digital mapping teaching to adapt to the demands of modern teaching. This teaching mode mainly included four modules, namely, micro-courseware, micro-video, micro-exercise, and micro-examination. It realized the hierarchical teaching of knowledge points in digital mapping course, simplification of basic principles, simulation of engineering cases, and self-evaluation of learning outcomes. The teaching mode was applied to 114 students from the Mapping Engineering Department of Henan University of Urban Construction. Results indicate that the proposed teaching mode based on interactive micro-course technology promoting the independent after-class learning of the students, stimulating their learning enthusiasm, enhancing their practical abilities of the students, and improving the effect of teaching. This mode of teaching provides a new concept for the teaching mode reform of other courses in mapping engineering.

scholarly journals Instructors’ ideas on the use of code-switching in EFL in Turkey: A case study

2017 ◽  
Vol 7 (1) ◽  
pp. 9-17
Author(s):  
Engin Evrim Onem
Keyword(s):  
Rank Order ◽  
Relevant Literature ◽  
Code Switching ◽  
State Universities ◽  
Future Research ◽  
Efl Teachers ◽  
Language Classrooms ◽  
Foreign Language Instructors ◽  
Teaching Ideas

Abstract   Code switching is a very common phenomenon in EFL language classrooms. The goal of this case study is to find out the possible reasons why EFL instructors employ code switching in ELT classes in Turkey. To achieve this, a brief questionnaire composed of the most common seven reasons mentioned in the relevant literature on code switching in language classrooms was compiled by the researcher and administered to ten EFL teachers working at different state universities in Turkey. The participants were asked to rank order the reasons from the most ideal to the least ideal purpose of employing code switching in classrooms for themselves and were later asked to write the reasons for their choices. It was found that “leaving no confusion about the topic” was the most common reason for the participants and the teachers who prioritized that reason seemed to have similar ideas about employing code switching in EFL. Discussion of the results and implications for future research are presented. Keywords: Code switching, language teaching, ideas about code switching, foreign language instructors.    

scholarly journals Exploring university students’ use of technologies beyond the formal learning context: A tale of two online platforms

2015 ◽  
Vol 31 (3) ◽  
Author(s):  
Liping Deng ◽  
Nicole Judith Tavares
Keyword(s):  
Informal Learning ◽  
Teaching Practice ◽  
Formal Learning ◽  
Emotional Needs ◽  
Learning Context ◽  
Online Participation ◽  
Teaching Resources ◽  
Individual Interviews ◽  
And Control ◽  
Teaching Ideas

<p class="abstract">Situated within an informal learning context, this study examines how a group of pre-service teachers in Hong Kong use Facebook and Google Sites on their own initiative to fulfil their academic and socio-emotional needs during their teaching practice. Also included in the study are the motivating and inhibiting factors that influence student online participation. Guided by an informal learning model and the literature relating to online participation and sense of community, this exploratory study generates its findings from questionnaires, individual interviews and online postings. The results show that the Google Sites created an avenue for the students to share a range of self-developed teaching resources and ideas. Facebook is a more interactive platform through which the participants seek peer support, exchange teaching ideas, and engage in discussions on a variety of topics. Structure and control provided by Google Sites and immediacy and interactivity afforded by Facebook become complementary to each other.</p><p> </p>

scholarly journals Research on Flipped Classroom Teaching Mode From the Perspective of Multimodality

2021 ◽  
Vol 11 (10) ◽  
pp. 1258-1265
Author(s):  
Yingjie Liu
Keyword(s):  
Flipped Classroom ◽  
Theoretical Perspective ◽  
Analytical Framework ◽  
Classroom Teaching ◽  
Multimodal Learning ◽  
Teaching Mode ◽  
Teaching Content ◽  
Concept Teaching ◽  
Teaching Ideas ◽  
Education Concept

Flipped classroom is not only the flipping of knowledge imparting and knowledge internalization, but also the all-round reform of education concept, teaching content, teaching methods, teaching means and teaching evaluation. Multimodality provides a theoretical perspective and analytical framework for the teaching design of flipped classroom. Multimodality theory fits many characteristics of flipped classroom, which is conducive to giving full play to the advantages of flipped classroom. With the help of multimodal theory and multimodal teaching ideas, this study constructs a flipped classroom teaching mode under the multimodal perspective, which takes the dynamic teaching structure as the core and the open multimodal learning environment as the all-round support, and gives some operational suggestions.

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