VIRTUAL CONFERENCE ictcm.com | #ICTCM 32 nd International Conference - PowerPoint PPT Presentation

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE ictcm.com | #ICTCM

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Assessing for Now and for Later

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Background information • Georgia College is Georgia’s designated public liberal arts university • We have less than 6000 undergraduate students and admit about 1500 a year • We try to keep class size small : Classes with fewer than 20 students 36%, 20- 49 58.6%, 50 or more 5.4% • All students must take a math class in area A of the core curriculum

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Hybrid Math Courses at GC College Algebra – reintroduced Fall 2011 - served most of our science and non-science majors - 8 sections – 4 sections Introduction to Mathematical Modeling - redesigned Fall 2015 - 4 sections

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Emporium Model - Hybrid Model • One face to face meeting each week • Pearson’s MyMathLab • Emporium Math Lab – 65 computers • 7-8 Undergraduate Learning Assistants (ULA)

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Intro to Math Modeling – Course Description • This course is an introduction to mathematical modeling using graphical , numerical , symbolic , and verbal techniques to describe and explore real world phenomena. Emphasis is on the use of elementary functions to investigate and analyze applied problems and questions, supported by the use of appropriate technology , and on effective communication of quantitative concepts and results. • This course is computer-assisted , which means students will use the computer (along with the instructor) to complete the course.

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Intro to Math Modeling – Description • The class will meet only once a week – lecture + example • Students are also required to work in their lab for at least 2.5 hours each lab week . The lab hours can be completed any time students want.

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Intro to Math Modeling – Prerequisites • Four years of high school mathematics. • Students who have completed a course in calculus in high school with a grade of B or better may not enroll for credit in this course without permission of the chair of the Department of Mathematics.

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Intro to Math Modeling – Course Outline This course challenges students with the following topics: • linear functions; • functions; • linear models; • formula, graphical, tabular, and • linear systems and verbal descriptions of functions; inequalities • nonlinear models; • Investment and annuity problems

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Intro to Math Modeling – Course Objectives Students will be exposed to the techniques and • methods of mathematical modeling; Students will use graphical, numerical, symbolic, and • verbal techniques to describe and explore real-world phenomena; Students will use elementary functions and • appropriate technology to investigate and analyze applied problems and questions; Students will enhance their ability to communicate • effectively orally and in writing; Students will be introduced to the interdisciplinary • applications of mathematics

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Original Configuration After Redesign - Graded Components Syllabus Quiz – MML assignment – prerequisite for all other • assignments (1) One homework assignment per week – MML (11) – starts • after class meeting; open for a week One quiz following each homework assignment and requiring at • least 60-70% completion of HA – MML (11) –open for a week One test covering 3-4 assignments – MML (3) – proctored in the lab • Two group projects (following first two tests) D2L • Final Exam – MML – proctored in the lab •

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Question 1: 1. How can I help my students be better prepared for assessment?

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Helping students succeed Eliminate the homework tools that do not help • understand but just memorize Have specific examples for them in class • Encourage them to read the book and especially class • notes – (provide them with complete notes!) Provide access to interactive tools if possible • Encourage them to write –use paper and pencil all the • time – students receive partial credit for test work Encourage them to try similar problems without any help • Encourage them to use Ask my Instructor tool •

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Question 2: What do I really want to assess in an application math course?

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Computation vs. Understanding Students will use graphical, numerical, symbolic, • and verbal techniques to describe and explore real-world phenomena; Students will use elementary functions and • appropriate technology to investigate and analyze applied problems and questions; Students will enhance their ability to communicate • effectively orally and in writing ;

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Question 3: How much do the lecture and a few examples solved during the 75 minutes face-to-face weekly meeting help my students prepare for assessment?

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Question 4: How can I make sure my students take a look at the mathematical concepts they will need to successfully complete their assignment?

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Flipping the classroom Weekly Modules that will open at least a couple of • days before the class meeting, containing instructions and options for covering the material for that week assignment Example: Module A2 Detailed D2L Announcement with reminders • The weekly requirements changed into two • categories: Concepts - reading  Applications 

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Flipping the classroom - Reading Preparation for Class : Assessment Assignments • Class notes (D2L) • Reading Quiz (D2L) • Key Concepts and Formulas (D2L) • Graphing Calculator Help (D2L) • Video examples (D2L) • Class Preparation – MML media assignment

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Flipping the classroom - Applications Preparation for course assessment: Assessment Assignments • Quiz (MML – 2 trials, • Homework Assignment (MML- requires at least 60% requires 100% completion of the media completion of the homework assignment) assignment)

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Flipping the classroom – Course Assessment • Unit tests – 3 in MML, password protected, and proctored • Final individual project – D2L, rubric graded (Final Project)

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Results • Before redesign • After redesign

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Results • Before flipping • After flipping AB% DF% W% AB% DF% W% Fall 18 77.9 9.4 4.7 Fall 19 71.6 7.7 8.9 Spring 20 68.6 4 19.4 Spring 19 70.9 10.6 7.9

32 nd International Conference on Technology in Collegiate Mathematics VIRTUAL CONFERENCE #ICTCM Helping students succeed During class meeting students get in up to 4 members groups and discuss • the concepts reviewed in the reading materials –each group submits a list of 2-3 concepts that were hard to understand Each group work on worksheets containing problems that are more • challenging than the majority Each group is invited to present at least a problem to other groups during • the semester Worksheets have keys available in a D2L folder • Some problems have video solutions I recorded and stored in D2L • I create Kahoot games for class to check the reading • Before tests students have Preparation assignments in MML • Give partial credit for work on paper for tests (only if student requests it!) • Students must review the tests and quizzes on their own before requesting • partial credit