Mathematics: Problem Solving and Investigations

A list of resources containing activities which could be integrated into your scheme of work with the purpose of integrating problem solving and investigational maths work into the natural process of learning mathematics and not just as a bolt-on added extra.

The first few resources are aimed at primary mathematics with the remainder aimed at Key Stages 3 & 4.

Links and Resources

Making Molecules

This activity asks students to investigate the structure of hydrocarbons.  A printed sheet representing carbon and hydrogen atoms is cut up and used by students to build as many isomers as they can for two chemical formulae.

Students are then challenged to discover a 3-D shape with 60 vertices, made from regular pentagons and hexagons. Teachers may choose to give 12 pentagons and 20 hexagons to groups of students for them to build the model or make up the shape from its net.

publication year
2010 to 2019

6 files

0

0

Problem Cards

This collection contains two packs of problem cards that have been designed for use by students in conjunction with the main work
described in the Teachers' Guides. It is intended that the majority of students should at least be able to 'have a go' at most of the questions, but should also be encouraged, to the full extent of their individual abilities, to think around a problem and to devise alternatives and generalisations.

There are two packs of problem cards, purple and red, each accompanied by a teachers' guide.

publication year
1960 - 1969

0 files

0

0

Starting Investigations

A book of mathematical investigations aimed at students working at National Curriculum levels 1 to 3.

Contains forty simple investigations covering topics such as Odds and Evens, Place Value, Number patterns and many more.

publication year
1990 - 1999

1 file

1

0

Badger Maths problem solving

A series of resources aimed at years one through to six aimed at developing problem solving skills. Each resource gives an example of a four step problem solving approach and task cards split into levels.

publication year
2000 - 2009

8 files

3

4.42857

Problem solving with EYFS, Key Stage One and Key Stage Two children

A set of resources from the National Strategies aimed at years one to six designed to help students become proficient problem solvers in mathematics.

publication year
2000 - 2009

3 files

0

0

Problem Solving Tasks

The Spode Group have produced a number of resources to support problem solving in mathematics through real life problems.


The resources contain a wide range of open-ended tasks, practical tasks, investigations and real life problems still useful today to place the mathematics learnt in the classroom into a real world context.

publication year
1980 - 1989

0 files

0

0

Bowland Maths: Assessment Tasks

Bowland Maths includes over thirty tasks designed to help assess students’ achievements and progression against key processes. To help with this assessment, each task contains sample work, and a 'progression table' showing how students’ work on the task can provide evidence of their progress with the four key processes: representing, analysing, communicating and reflecting.

These materials are also ideal for formative assessment that concentrates on providing the types of rich feedback that have been proven to help students improve their reasoning.

publication year
2010 to 2019

0 files

0

5

Graded Assessment in Mathematics (GAIM)

GAIM is a teacher assessment scheme for Key Stages Three and Four. The scheme is designed to encourage teaching and learning through practical problem solving and investigations,  involve students in all assessment and record keeping and introduce continuous assessment into normal classroom practice.

publication year
1990 - 1999

0 files

2

0

Investigative and Problem-Solving Approaches to Mathematics and Their Assessment

This resource was written in response to the Cockroft Report to address the recommendation that all mathematics teaching should include opportunities for exposition by the teacher, discussion between teachers and students and between students themselves, practical work, consolidation and practice, problem solving and investigational work. The purpose of the pack was to address these issues and support their introduction and assessment.

publication year
1990 - 1999

12 files

0

0

Design a Board Game

In this Shell Centre module, groups carefully design and produce their own board games. These games are then played and evaluated by other class members.

publication year
1980 - 1989

4 files

0

0

Plan a Trip

In this Shell Centre module students plan and undertake a class trip using costings, scheduling, surveys and everyday arithmetic.

publication year
1980 - 1989

3 files

0

0

Produce a Quiz Show

In this Shell Centre modlue, Produce a Quiz Show, students devise, schedule, run and evaluate their own classroom quizzes.

publication year
1980 - 1989

3 files

0

0

Pure Investigations

These two books from the Shell centre focus on the pure investigations.

publication year
1980 - 1989

2 files

0

0

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