/
Reasoning in Maths Reasoning in Maths

Reasoning in Maths - PowerPoint Presentation

karlyn-bohler
karlyn-bohler . @karlyn-bohler
Follow
480 views
Uploaded On 2017-06-05

Reasoning in Maths - PPT Presentation

Mike Cooper 290116 Starter activity Which number does not belong 15 23 20 25 Harder Starter activity If 03 x 05 015 is 03 x 02 06 Why reason When is reasoning needed ID: 556216

problems reasoning reason mathematics reasoning problems mathematics reason thinking needed mathematical maths solve pupils strategies national solutions routine curriculum aims lessons ensure

Share:

Link:

Embed:

Download Presentation from below link

Download Presentation The PPT/PDF document "Reasoning in Maths" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.


Presentation Transcript

Slide1

Reasoning in Maths

Mike Cooper29/01/16Slide2

Starter activity

Which number does not belong?

15

23

20

25Slide3

(Harder?) Starter activity

If 0.3 x 0.5 = 0.15

is 0.3 x 0.2 = 0.6?Slide4

Why reason?

When is reasoning needed?

Thinking about your Maths

lessons

?Slide5

reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language

The national curriculum for mathematics aims to ensure that all pupils:Slide6

CTM – September 2015Slide7

The national curriculum for mathematics aims to ensure that all pupils:

become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accuratelySlide8

can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions

The national curriculum for mathematics aims to ensure that all pupils:Slide9

AO1: Use and apply standard techniquesStudents should be able to:

accurately recall facts, terminology and definitionsuse and interpret notation correctlyaccurately carry out routine procedures or set tasks requiring multi-step solutions.

AO2: Reason, interpret and communicate mathematicallyStudents should be able to:make deductions, inferences and draw conclusions from mathematical information

construct chains of reasoning to achieve a given resultinterpret and communicate information accuratelypresent arguments and proofsassess the validity of an argument and critically evaluate a given way of presenting information.

AO3: Solve problems within mathematics and in other contexts

Students should be able to:

translate problems in mathematical or non-mathematical contexts into a process or a series of mathematical processes

make and use connections between different parts of mathematics

interpret results in the context of the given problem

evaluate methods used and results obtained

evaluate solutions to identify how they may have been affected by assumptions made.

Assessment objectives – GCSE MathsSlide10

Why reason?

When is reasoning needed?

Thinking about your Maths

lessons

?Slide11

When is reasoning needed?

When encountering a new challenge

When logical thinking is neededWhen a range of starting points is possibleWhen there are different strategies to solve a problemWhen there is missing informationWhen problem solvingWhen there is more than one solutionSlide12

Examples of reasoning opportunities

In pairs/threes Have a go at one of the tasks on your table

10 minutes

STOPSlide13

When is reasoning needed?

When encountering a new challenge

When logical thinking is neededWhen a range of starting points is possibleWhen there are different strategies to solve a problemWhen there is missing informationWhen problem solvingWhen there is more than one solution

Feedback?Slide14

Progression in reasoning

DescribingExplaining

ConvincingJustifyingProving

Verbal or Written?Slide15

Why reason?

When is reasoning needed?

Thinking about your Maths

lessons

?Slide16

Getting started?

Nrich SoW/WebsiteEYFS & KS1

KS2KS3 & KS4National Strategies books (Primary)

Challenges BookReasoning in NumberTeam teach?Slide17

Any Questions?

Give out the handout

m.r.cooper@hull.ac.uk