playful math world a solution to mmap ed 333a wuping lu edmund shen huiping liao
TRANSCRIPT
Playful Math WorldA Solution to MMAPPlayful Math WorldA Solution to MMAP
ED 333A
Wuping LuEdmund Shen Huiping Liao
Learning Problems in MMAP
Math teaching opportunities missedNot covering all math topicsWeren’t seeing the connections between the
activities and formal mathematicsReal world “Applications” not interesting
enoughLacking in-depth mathematical conversations
Learning Learning Problems in General Math Problems in General Math TeachingTeaching
• Math is seen as difficult, boring, and irrelevant
• Students are passive recipients of mathematical knowledge and symbols and not motivated in learning
• Students cannot apply math principles to the real world problems
Design ObjectivesDesign Objectives
• Ensure that teachers cover all math topics Ensure that teachers cover all math topics and contentand content
• Motivate students and improve sense-Motivate students and improve sense-making in learningmaking in learning
• Improve problem-solving skills which are Improve problem-solving skills which are tailored to solve comprehensive real world tailored to solve comprehensive real world problemsproblems
Develop in-depth mathematical Develop in-depth mathematical communication and argument abilitycommunication and argument ability
Design RationaleDesign Rationale
• CognitiveCognitive– (c1)1Iinteractive environments for (c1)1Iinteractive environments for
construction of understandingconstruction of understanding– (c4) Assessments of extended performance(c4) Assessments of extended performance
• SituativeSituative– (s1) Environments of participation in social (s1) Environments of participation in social
practices of inquiry and learningpractices of inquiry and learning– (s4) Practices of formulating and solving (s4) Practices of formulating and solving
realistic problemsrealistic problems
Chick Egg Incubation Project Chick Egg Incubation Project
Chick Incubator Chick Incubator Chick Incubator Chick Incubator
Design SolutionDesign Solution - - Redesign of the Redesign of the CurriculumCurriculum
• Class organizationClass organization– Still application-based Still application-based – Sequence and organization of teaching Sequence and organization of teaching
reorganizedreorganized– Mathematical concepts will be taught before Mathematical concepts will be taught before
any applicationany application– All math topics are covered in a teachable and All math topics are covered in a teachable and
learnable mannerlearnable manner– Then the application of concepts in the simple Then the application of concepts in the simple
real word problemsreal word problems– Finally proceed to solving the comprehensive Finally proceed to solving the comprehensive
real world problems real world problems
Design SolutionDesign Solution - - Redesign of the Redesign of the CurriculumCurriculum
• Instructional MethodsInstructional Methods– Using worked examples and Using worked examples and
demonstrating expert thinking processdemonstrating expert thinking process– Practice exercises mirroring the real Practice exercises mirroring the real
world situationworld situation– Group work to solve the comprehensive Group work to solve the comprehensive
real world problemsreal world problems– Student work presentation and think Student work presentation and think
aloudaloud
Design Solution - Redesign of the Curriculum
The Structure of Each Class Student work presentation and think aloud Teach basic math concepts principles Demonstrate the application using worked
examples Practice exercises mirroring the real world
situation Group work to solve the comprehensive
real world problems
Design SolutionDesign Solution - - Redesign of the Redesign of the CurriculumCurriculumLearning MaterialsLearning Materials• ““Math in Design Units” with Real World Math in Design Units” with Real World
applications for the math practice and applications for the math practice and group work. group work.
• Expending learning capability with mantel Expending learning capability with mantel development processdevelopment process
• Providing easy-to–understand real world Providing easy-to–understand real world problem with explanations problem with explanations
• Fun and playful. It is more related to the Fun and playful. It is more related to the youngsters’ world and life to increase their youngsters’ world and life to increase their interesting, motivation, and imaginationinteresting, motivation, and imagination
Design Solution – Redesign of Software
Interactive software tool with two screens: Teacher’s Screen.
– The NCTM data installed– Review function– Performance Analysis function.– New project generation function
Student’s Screen—Playful Math Wizard.– mental model for math – Intelligence math “hint” suggestion– Explanation and description for the real world situation
background.– Tests composition capability with automatic score
function. – Group or individual “Math Game” function. Get Points.
Electricity Heating Design for IncubatorTotal Score 100 points. S: My incubator with 1.2 feet wide, 1.8 feet long and 1 foot tall. W: Then how much is the cubic feet? S: I forgot the formula. W: Hint…. Remember a rectangular formula? Cubic has 3
dimensions. W: Right! You got 1 point! Then, how many 100W lamps you
need? S: Mhhhhhh…. W: Hint: Algebra. S: X=2.16/0.8! W: Great! You got 5 points! Then, how many 100W lamps you
need? S: 2.7….. I will use two 100W lamp and one 70W lamp! W: Smart boy! You got 10 points!The game can provide the simulation results. For example: S: I put two 1,000W lamps in this incubator! W: Congratulations! Your eggs are fully cooked after 10 minutes.
Enjoy your meal! Hint: Your designed an inferred oven!
AssessmentAssessment
• Math background test
• Class observations
• Students and Teachers Survey
• Achievement Test
Conclusion
Our design will fix the learning problems Playful Math World project can make math to be fun, interesting and motivating for all students. We expect the result of the student performance will exceed the math standards.
Thank youThank you
QuestionsQuestions ??