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“Why Do We Need to Know This?” OPENING STUDENTS’ EYES TO REAL-WORLD APPLICATIONS OF MATH Laura Billing and Scott Hagan, Math Dept., BCIT

“Why Do We Need to Know This?” O PENING S TUDENTS ’ E YES TO R EAL -W ORLD A PPLICATIONS OF M ATH Laura Billing and Scott Hagan, Math Dept., BCIT

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Page 1: “Why Do We Need to Know This?” O PENING S TUDENTS ’ E YES TO R EAL -W ORLD A PPLICATIONS OF M ATH Laura Billing and Scott Hagan, Math Dept., BCIT

“Why Do We Need to Know This?”

OPENING STUDENTS’ EYES TO REAL-WORLD

APPLICATIONS OF MATH

Laura Billing and Scott Hagan, Math Dept., BCIT

Page 2: “Why Do We Need to Know This?” O PENING S TUDENTS ’ E YES TO R EAL -W ORLD A PPLICATIONS OF M ATH Laura Billing and Scott Hagan, Math Dept., BCIT

“Why Do We Need to Know This?”

Students often do not see how math is relevant to them.

Real-life applications motivate students to learn the related math.

Young adults are not choosing technical careers in the numbers necessary to sustain the workforce.

Page 3: “Why Do We Need to Know This?” O PENING S TUDENTS ’ E YES TO R EAL -W ORLD A PPLICATIONS OF M ATH Laura Billing and Scott Hagan, Math Dept., BCIT

Lack of Young Adults in Technical Fields

“…Students are often not aware of the fact that they cause a foreclosure of many exciting and interesting professions to choose from by not enrolling in mathematics and physics during the last year in school.” 

See also: http://www.conferenceboard.ca/hcp/Details/education/graduates-science-math-computer-science-engineerin.aspx

Addressing British Columbia's Technological and Engineering Skills Shortage (BC Chamber of Commerce Report, 2009):“…eligibility for an enrolment in science and engineering related faculties is very low, which causes an insufficient supply of technologists and engineers for the future.” 

Page 4: “Why Do We Need to Know This?” O PENING S TUDENTS ’ E YES TO R EAL -W ORLD A PPLICATIONS OF M ATH Laura Billing and Scott Hagan, Math Dept., BCIT

“The Project”

We know you have no time to collect applications from diverse fields so we would like to do it for you.

The plan is to develop a package of application questions relevant to high school curriculum topics.

Each problem is completely self-contained, requiring nothing other than a knowledge of the requisite math.

Page 5: “Why Do We Need to Know This?” O PENING S TUDENTS ’ E YES TO R EAL -W ORLD A PPLICATIONS OF M ATH Laura Billing and Scott Hagan, Math Dept., BCIT

Web-Based Delivery

On-line delivery of individualized assignments that are automatically graded

Maple T.A. has been used successfully for on-line assessment at BCIT, so was the natural choice to deliver these application problems

Oh, and it’s a Canadian product

Maple T.A. allows a variety of question formats and elements, versatility in assignments, and is supported by a world-renowned analytical engine.

Page 6: “Why Do We Need to Know This?” O PENING S TUDENTS ’ E YES TO R EAL -W ORLD A PPLICATIONS OF M ATH Laura Billing and Scott Hagan, Math Dept., BCIT

Diverse Applications of Mathematics

Our math department teaches to a variety of fields, tailoring problems to each program.

BCIT’s math faculty are uniquely placed to know how math is applied.

Sample problems shown are related to a number of different fields.

Page 7: “Why Do We Need to Know This?” O PENING S TUDENTS ’ E YES TO R EAL -W ORLD A PPLICATIONS OF M ATH Laura Billing and Scott Hagan, Math Dept., BCIT

Individualized Visual Elements

Visual elements keyed to numbers in the problem improve students’ grasp of the application context

Animations clarify context and the role that the math plays

Plots are regenerated for each student

Students can pin their memory and understanding to something concrete

Page 8: “Why Do We Need to Know This?” O PENING S TUDENTS ’ E YES TO R EAL -W ORLD A PPLICATIONS OF M ATH Laura Billing and Scott Hagan, Math Dept., BCIT

Collaborative Learning

Every student receives a slightly different problem.

Allows students to discuss how to solve the problem not what the answer is.

Could be used for a class project or enrichment homework.

Page 9: “Why Do We Need to Know This?” O PENING S TUDENTS ’ E YES TO R EAL -W ORLD A PPLICATIONS OF M ATH Laura Billing and Scott Hagan, Math Dept., BCIT

Portability

Questions can be answered on-line or printed for off-line work

Can be used in either the computer lab or the classroomStudents can access questions at home, for extra practice and enrichment

Page 10: “Why Do We Need to Know This?” O PENING S TUDENTS ’ E YES TO R EAL -W ORLD A PPLICATIONS OF M ATH Laura Billing and Scott Hagan, Math Dept., BCIT

Ability to Redo Assignments

Teachers can set up assignments to allow students to retake them – once, twice or as often as the student likes

Students love it because they’re allowed to improve their grade……but they’re really

just getting more practice and improving their understanding

Page 11: “Why Do We Need to Know This?” O PENING S TUDENTS ’ E YES TO R EAL -W ORLD A PPLICATIONS OF M ATH Laura Billing and Scott Hagan, Math Dept., BCIT

Feedback

Many different customizable levels of feedback: Grading an assignment provides instant

feedback, including (optionally) the correct answer.

Teacher can choose whether or not to allow students to “check” their answers before grading.

Full solutions will be available to teachers and, if desired, students.

Page 12: “Why Do We Need to Know This?” O PENING S TUDENTS ’ E YES TO R EAL -W ORLD A PPLICATIONS OF M ATH Laura Billing and Scott Hagan, Math Dept., BCIT

The Problem

Young adults are not choosing technical careers

They may not be aware of the opportunity cost involved in neglecting math

Not knowing that math plays a role in some of their prospective careers might erode students’ motivation

Page 13: “Why Do We Need to Know This?” O PENING S TUDENTS ’ E YES TO R EAL -W ORLD A PPLICATIONS OF M ATH Laura Billing and Scott Hagan, Math Dept., BCIT

Our Proposal

What we can offer: APPLICATIONS Questions that demonstrate real

applications of topics in the high school curriculum

A delivery mechanism that allows students to learn from each other

What we would like from you: FEEDBACK What did you like? What didn’t you like? Would you use a product like this? Why or

why not? What curriculum topics and grade levels

would you like to see addressed?

Page 14: “Why Do We Need to Know This?” O PENING S TUDENTS ’ E YES TO R EAL -W ORLD A PPLICATIONS OF M ATH Laura Billing and Scott Hagan, Math Dept., BCIT

“The Project” - Are You Interested?

LAURA BILLING, Math Dept., [email protected]

SCOTT HAGAN, Math Dept., [email protected]