Use Progressive Visualization Teaching Method to Improve Learning Motivation of Calculus Courses

Table 1: Learning characteristics of the three teaching stages

	Teaching Stage I	Teaching Stage II	Teaching Stage III
Syllabus Units	Differential calculus	Applications of the derivative and optimization topics	Antiderivative and integral calculus
Learning (internal reflection and comprehension)	Awareness,Memorizing,Understanding	Causality,Coherence,Meaning-making	Effortful practice,Insights,Lived experience
Teaching Approaches	Introduce calculus from scratch through textbook instruction	Use mathematical software to solve optimization problems	Use visual models to facilitate understanding of complex integral calculations
Learning Objective	Able to describe the concept of calculus and solve simple problems independently	Able to use mathematical software to analyze structured problems and be aware of the causality	Able to design visual models and use life examples to deepen the impression
Learning Activities	Complete personal homework and simple quizzes	Use math software to draw math functions and explain the geometric meaning of problems	Team up with classmates to develop visual calculus models to solve unstructured problems
Teaching Purposes	Learn knowledge	Enhance learning comprehension	Increase interest in learning

< Back to article

We care about your privacy

We use cookies or similar technologies to access personal data, including page visits and your IP address. We use this information about you, your devices and your online interactions with us to provide, analyse and improve our services. This may include personalising content or advertising for you. You can find out more in our privacy policy and cookie policy and manage the choices available to you at any time by going to ‘Privacy settings’ at the bottom of any page.

Manage My Preferences

You have control over your personal data. For more detailed information about your personal data, please see our Privacy Policy and Cookie Policy.

Strictly Necessary Cookies

These cookies are essential in order to enable you to move around the site and use its features, such as accessing secure areas of the site. Without these cookies, services you have asked for cannot be provided.

Marketing Cookies

Third-party advertising and social media cookies are used to
(1) deliver advertisements more relevant to you and your interests;
(2) limit the number of times you see an advertisement;
(3) help measure the effectiveness of the advertising campaign; and
(4) understand people’s behavior after they view an advertisement.
They remember that you have visited a site and quite often they will be linked to site functionality provided by the other organization. This may impact the content and messages you see on other websites you visit.