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Douglas Quinney University of Keele. Diagnostics and Diagnosis. A level results. 1992: 35% got A &B 2007: 35% didn’t get A&B. A level questions. Diagnostic Results. Diagnostic results at Keele. 2009-2010 Reorganization. 2009 6 modules 10 credits MAT10014 Math Methods -10 credits
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Douglas Quinney University of Keele Diagnostics and Diagnosis
A level results. 1992: 35% got A &B 2007: 35% didn’t get A&B
2009-2010 Reorganization 2009 6 modules 10 credits • MAT10014 Math Methods -10 credits • MAT10030 Fundamental Techniques - 5 credits 2010 4 module 15 credits • MAT10025 Math Methods -15 credits • 100 students • 180 students
System Requirements • Variety of QA Questions correctly checked • Additional resources • Direct text Links • Ease of generation of assignments • Grade book – linked to VLE • System support, extensibility, portability
WileyPlus - Evaluation. Hauk et al (2005), Zerr (2007) Lenz (2010), La Rose (2010) • Diagnostic Test Results • Comparison within 2010 • Comparison with 2009 • Examination performance • Follow students through 2 years
WileyPlus - Results. • Greater engagement • Better retention • Reduced marking loads
WileyPlus- Student feedback • “Great because I can keep trying until I get it right.” • “Opportunity to practice before I try the assessed work is brill.” • “Before I only had one chance to get it right” • “Getting immediate feedback is the best part – I don’t have to wait 2 weeks” • “OK, its ok for basic stuff but how will it help me prove theorems?”
WileyPlus - Who is it for? • Administration? • Academic leaders (Deans)? • Academics? • Students?
Part II - Diagnosis • Do we understand our students? • Do our students understand us? • Are we asking the right questions? • Do students know what questions to ask?
Simple experiment 1. Tabulate the function and use the result to plot this function. Find the slope of the curve at x=0.5 and comment on the result. 2. Find two positive real numbers that have product 100 and minimum sum. 3. Classify all the turning points of the function where A, B and C are all positive. 4. A cylindrical can has radius r and height h. If the can is to hold 250 cubic units and has minimum surface area, show that the height is twice the radius. 5. The cost of keeping a car is the sum of insurance and running costs. Daily insurance cost is inversely proportional to the age of the car. Daily running cost is the sum of a fixed cost, including tax, and a maintenance cost that is proportional to the age of the car. For what age of car is the total daily cost smallest?
Simple experiment – Q1 1. Tabulate the function and use the result to plot this function. Find the slope of the curve at x=0.5 and comment on the result.
Simple experiment – Q2 2. Find two positive real numbers that have product 100 and minimum sum.
Simple experiment – Q3 3. Classify all the turning points of the function where A, B and C are all positive.
Simple experiment – Q4 4. A cylindrical can has radius r and height h. If the can is to hold 250 cubic units and has minimum surface area, show that the height is twice the radius?
Simple experiment – Q5 5. The cost of keeping a car is the sum of insurance and running costs. Daily insurance cost is inversely proportional to the age of the car. Daily running cost is the sum of a fixed cost, including tax, and a maintenance cost that is proportional to the age of the car. For what age of car is the total daily cost smallest?
Student Attitude Survey 1. At school /college we were encouraged to work in groups. 2. At school /college we were encouraged to discuss mathematical ideas.. 3. I had opportunities to discuss mathematics outside the classroom.
Student Attitude Survey 7. I found the questions easy 8. I was comfortable with the questions and the mathematics involved. 9. The level of the questions is appropriate for students starting a Mathematics Degree.
Results Quinney D.A: MSOR Connections Vol 8 No 3 August – October 2008
Comparison by A level grade Comparison by FM Grade
1 2 3 Using formula from Q2
Principle of Blinded Reflectiveness buffalo buffalo buffalo buffalo buffalo Buffalo buffalo buffalo, buffaloBuffalo buffalo
MSOR Year 1 conclusions 1. Group activities 2. Conceptual sophistication.
Conclusions – Good Practice Know your students Practice & Rapid Feedback Discussion groups Group working