A writing rubric for “describe” or “explain” questions in Maths and Stats.

OSEM

Presented by Jeremy Brocklehurst

*Lincoln High School

Co-educational secondary school: Y913.

15 minutes out of Christchurch.

Roll: About 1600.

School-wide focus on developing thinking (SOLO Taxonomy) since

2007. (Pam Hook: http://hooked-on-thinking.com )

Then in 2012, school wide focus on developing templates for writing.

Success criteria for this workshop!

Examples of describe/explain questions

Compare the performance of these 2 players over the seasons shown in the graph.

2013 Level 2 Probability external

Compare and contrast the two distributions.

You should discuss shape, centre and spread in relation to the context.

2014 Level 2 Probability externalDiscuss the distributions.

In your answer you should include some relevant calculations and some comparisons.

You should also discuss shape, centre and spread.

2014 Level 2 Probability externalDiscuss the distributions.

In your answer you should include some relevant calculations and some comparisons.

You should also discuss shape, centre and spread.

2013 L3 Probability Distributions

2014 L3 Probability DistributionsNumber of Latte’s out of 5 made with trim

milk

Heights of male and female students from the South African Census @ School Database

Describe features of the distributions comparatively.

And it’s not just a Stats thing…

In Scholarship Calculus:

From the 2012 exam:

Use calculus to explain why the simple equation models such a wide range of real world situations.

Write at most half a page.

Have a go at one:The following graphs are distributions of ages in two populations. The United States of America (based on US census data) and Facebook users:

Describe features of the distributions comparatively. Aim to make at least three statements. Support your statements with statistical evidence.

Have a go at one:The following graphs are distributions of ages in two populations. The United States of America (based on US census data) and Facebook users:

Describe features of the distributions comparatively. Aim to make at least three statements. Support your statements with statistical evidence.

Context…

When given an “explain”, “describe” or “compare and contrast” task:

What are common difficulties that students have?

What people said in workshops…

When given an “explain”, “describe” or “compare and contrast” task:

What are common difficulties that students have?- Getting started.- Handling lack of information or information they don’t understand.- Confidence – fear of being wrong so I won’t try.- Not sure what statistical terms to use.- Stating what’s obvious and spelling it out.- How to back up my points using evidence from these graphs?- Comparitive language. If asked to compare the features of 2

distributions of data, students tend to describe them separately rather than comparing them.

- Talk about the graphs but no contextual links.- Write only about context – no links to statistical evidence (social

studies answer).- Having the right language/vocab – what does “compare” actually

mean I have to do? Likewise “discuss” vs “explain”.

Writing rubrics can be useful

What the OSEM writing frame means:

O stands for Obvious observations

Write down one thing you notice, then leave a gap, and write down something else you notice. Try to get 3 obvious things.

S is for Specific Under each obvious observation, explain what you mean so that another person would get it.

 

E is for Evidence Support each observation with numbers or calculations.

 

M is for Meaning: Make sense of it. So what? Write Write down what each of your points tells you about the original problem/situation. What else could we find out?

What the OSEM writing frame means:

O stands for Obvious observations:

Write down one thing you notice, then leave a gap, and write down something else you notice. Try to get 3 obvious things.

S is for Specific: Under each obvious observation, explain what you mean so that another person would get it.

 

E is for Evidence: Support each observation with numbers or calculations.

 

M is for Meaning: Make sense of it. So what? Write Write down what each of your points tells you about the original problem/situation. What else could we find out?

What the OSEM writing frame means:

O stands for Obvious observations:

Write down one thing you notice, then leave a gap, and write down something else you notice. Try to get 3 obvious things.

S is for Specific: Under each obvious observation, explain what you mean so that another person would get it.

 

E is for Evidence: Support each observation with numbers or calculations.

 

M is for Meaning: Make sense of it. So what? Write down what each of your points tells you about the original problem/situation. What else could we find out?

What the OSEM writing frame means:

O stands for Obvious observations:

Write down one thing you notice, then leave a gap, and write down something else you notice. Try to get 3 obvious things.

S is for Specific: Under each obvious observation, explain what you mean so that another person would get it.

 

E is for Evidence: Support each observation with numbers or calculations.

 

M is for Meaning: Make sense of it. So what? Write down what each of your points tells you about the original problem/situation. What else could we find out?

What the OSEM writing frame means:

O stands for Obvious observations:

Write down one thing you notice, then leave a gap, and write down something else you notice. Try to get 3 obvious things.

S is for Specific: Under each obvious observation, explain what you mean so that another person would get it.

 

E is for Evidence: Support each observation with numbers or calculations.

 

M is for Meaning: Make sense of it. So what?

What the OSEM writing frame means:

O stands for Obvious observations:

Write down one thing you notice, then leave a gap, and write down something else you notice. Try to get 3 obvious things.

S is for Specific: Under each obvious observation, explain what you mean so that another person would get it.

 

E is for Evidence: Support each observation with numbers or calculations.

 

M is for Meaning: Make sense of it. So what?Write down what each of your points tells you about the problem/situation.

What the OSEM writing frame means:

O stands for Obvious observations:

Write down one thing you notice, then leave a gap, and write down something else you notice. Try to get 3 obvious things.

S is for Specific: Under each obvious observation, explain what you mean so that another person would get it.

 

E is for Evidence: Support each observation with numbers or calculations.

 

M is for Meaning: Make sense of it. So what?Write down what each of your points tells you about the problem/situation. This is all about the context.

M is for Meaning: Make sense of it. So what?

The “Meaning” bit has 2 aspects:

M is for Meaning: Make sense of it. So what?

Explanations Implications

The “Meaning” bit has 2 aspects:

M is for Meaning: Make sense of it. So what?

Explanations

The “Meaning” bit has 2 aspects:

M is for Meaning: Make sense of it. So what?

1. Make sense of it.

The “Meaning” bit has 2 aspects:Explanations

M is for Meaning: Make sense of it. So what?

1. Make sense of it. Explanations.

The “Meaning” bit has 2 aspects:Explanations

M is for Meaning: Make sense of it. So what?

1. Make sense of it. Explanations.

“This makes sense because...”

Explanations

The “Meaning” bit has 2 aspects:

M is for Meaning: Make sense of it. So what?

1. Make sense of it. Explanations.

“This makes sense because...” “This could be because…”

Explanations

The “Meaning” bit has 2 aspects:

M is for Meaning: Make sense of it. So what?

1. Make sense of it. Explanations.

“This makes sense because...” “This could be because…” “This is surprising because…”

Explanations

The “Meaning” bit has 2 aspects:

M is for Meaning: Make sense of it. So what?

1. Make sense of it. Explanations.

“This makes sense because...” “This could be because…” “This is surprising because…” “Another factor that could be involved here is…”

Explanations

The “Meaning” bit has 2 aspects:

M is for Meaning: Make sense of it. So what?

1. Make sense of it. Explanations.

“This makes sense because...” “This could be because…” “This is surprising because…” “Another factor that could be involved here is…”

2. So what?

Implications

The “Meaning” bit has 2 aspects:

M is for Meaning: Make sense of it. So what?

1. Make sense of it. Explanations.

“This makes sense because...” “This could be because…” “This is surprising because…” “Another factor that could be involved here is…”

2. So what? Implications.

The “Meaning” bit has 2 aspects:Implications

M is for Meaning: Make sense of it. So what?

1. Make sense of it. Explanations.

“This makes sense because...” “This could be because…” “This is surprising because…” “Another factor that could be involved here is…”

2. So what? Implications.• How is this relevant to your original question? • Research – what have other studies found out about this?

How can we show “Statistical Insight” here?

The “Meaning” bit has 2 aspects:Implications

M is for Meaning: Make sense of it. So what?

1. Make sense of it. Explanations.

“This makes sense because...” “This could be because…” “This is surprising because…” “Another factor that could be involved here is…”

2. So what? Implications.• How is this relevant to your original question? • Research – what have other studies found out about this?

Statistical Insight : Link Stats + Context and look deeper.

The “Meaning” bit has 2 aspects:Implications

M is for Meaning: Make sense of it. So what?

1. Make sense of it. Explanations.

“This makes sense because...” “This could be because…” “This is surprising because…” “Another factor that could be involved here is…”

2. So what? Implications.• How is this relevant to your original question? • Research – what have other studies found out about this?

Statistical Insight : Link Stats + Context and look deeper.

The “Meaning” bit has 2 aspects:Implications

Explanations

What the OSEM writing frame means:

O stands for Obvious observations:

Write down one thing you notice, then leave a gap, and write down something else you notice. Try to get 3 obvious things.

S is for Specific: Under each obvious observation, explain what you mean so that another person would get it.

 

E is for Evidence: Support each observation with numbers or calculations.

 

M is for Meaning: Make sense of it. So what?Write down what each of your points tells you about the problem/situation. This is all about the context.

Examples of student work…

%

Observe (look for obvious)

%

Specific with Evidence (numbers)

%

Meaning:

%

Meaning: So what?

%

Meaning: So what? What does this tell us about the situation?

Year 9…

Meaning- Make sense of it.- So what?

Year 10 chance investigation: Win at the Fair

Obvious observationsSpecific

Evidence (numbers, calculations)

Year 10 chance investigation: Win at the Fair

140

160

180

200

220

170

210

190

120

110

100

MaleFemale

130

150

MF Heights

200180160140120 170130 190

Female

110 150

Male

TallCentimetre

Height: Girls Boys Min: 120 123 LQ: 135 143.75 Med: 149.5 154 UQ: 158 168.5 Max: 245* 193

3. a) Appropriate dot plot drawn b) Appropriate box plot drawn

In the Level 1 Multivariate Data standard (1.10), my students found OSEM a useful guide when writing their conclusions:

1.10 Multivariate – Conclusion

1.10 Multivariate – Conclusion

And even in Level 2 Coordinate Geometry

And even in Level 2 Coordinate Geometry

Specific (labelling)

Evidence (calculations)

Meaning (so what?)

(Relate back to problem)

Obvious observations

Reference for SOLO Taxonomy symbols: Pam Hook: http://hooked-on-thinking.com

Great resources to practice describing displays using NZ data

Wiki New Zealand website:

http://wikinewzealand.org/?cat=280

Wiki New Zealand site:

Wiki New Zealand site:

Wiki New Zealand site:

(a) Leaflets from us – pay a fixed amount per leaflet

(b) Leaflets delivery co. pays them per bundle of 50 leaflets.If a student delivers more than 300 leaflets they are paid more per bundle.

School students are paid to deliver weekly advertising leaflets to houses.

In groups:

1. Each person has a sheet.

2. Each person fills in one Obvious observation.

3. Then fill in the “Specific” part for your observation

3. Continue in this way, passing

each sheet around until OSEM are completed for all 4 boxes.

4. Then have a go at the Extended Abstract part.

Unistructural

Obvious observations:I can identify one relevant

feature.

Multistructural

Specific with Evidence:

My description includes

specific details (e.g. locations on the scale)

AND is supported by

evidence (numbers and

units).

Relational

Meaning:I can relate my

specific observations back to the context the

graph represents.

(link – sequence, classify, compare and

contrast, explain causes, explain consequences,

analyse (part whole)).

Extended Abstract

Go somewhere with it…

I can make decisions based on the

evidenceI can predict the

effects of changes to the features.

I can adapt my observations to other situations (generalise)

(new way – generalise, evaluate, predict, and create).

Success Criteria: OSEM

Examples of describe/explain questions

(a) Leaflets from us – pay a fixed amount per leaflet

(b) Leaflets delivery co. pays them per bundle of 50 leaflets.If a student delivers more than 300 leaflets they are paid more per bundle.

School students are paid to deliver weekly advertising leaflets to houses.

Explain how and why the graph in part (b) is different to the

graph in part (a).

(b) Leaflets delivery co. pays them per bundle of 50 leaflets.