Thinking abstractly, thinking ahead, thinking procedurally, - PowerPoint Presentation

Slide1

Thinking abstractly, thinking ahead, thinking procedurally, thinking logically & thinking concurrently

Computational thinking

How to use this resource

Presenting these exercises as a PowerPoint presentation allows you to use the resource in a variety of ways:

Projecting the exercise from the front of the class as a starter/plenary activity.

Printing out 3/6 slides per page to use as revision cards or a paired activity.

Carousel activity with different groups looking at different scenarios, moving between groups, adding more ideas.

Show the students the scenario. Using the computational thinking placemat as a handy reference.

Students complete the activity on the card.

The second slide in each scenario shows a typical answer. This is not exhaustive, and students may be able to elaborate further, beyond the points raised. The teacher can also pose follow up questions, with reference to the placemat to aid revision, e.g. “what are the advantages of this approach?”Slide2

Thinking abstractly

Computational thinking

Lunar outpost

Scientists at NASA are considering using the moon as a base for manned exploration of the solar system. There are many advantages to launching spacecraft from the moon rather than Earth. In order to decide a suitable place for the lunar outpost, scientists think abstractly and use visualisation.

Explore

http://www.google.co.uk/moon/Using suitable screen shots of “Apollo”, “Elevation”, and “Charts” illustrate how scientists can think abstractly to determine a suitable location for a lunar outpost.

Thinking Abstractly

Thinking Ahead

Thinking Procedurally

Thinking Logically

Thinking ConcurrentlySlide3

Thinking abstractly

Computational thinking

Lunar outpost

Possible answers to the challenge:

Icon of astronaut shows previous moon landing sites.

Number label shows previous moon landing sites.Elevation shows height of terrain using colour.

Labels with codes show the type of terrain, e.g. Ci = intrusive rock.

Features and areas of the lunar surface are named.

Thinking Abstractly

Thinking Ahead

Thinking Procedurally

Thinking Logically

Thinking ConcurrentlySlide4

Thinking logically

Computational thinking

Air France flight 447

On 1

st

June 2009, Air France flight 447 left Rio de Janeiro heading to Paris. It was a routine international flight. In the early hours of the morning, over the Atlantic Ocean, contact was lost, and the aeroplane vanished.On investigation, the plane showed signs of a high-speed impact with water as the nose cone was flattened. This ruled out a bomb or structural break-up. It was determined that the plane crashed into the water due to pilot error.The plane flew through a thunderstorm. Other aeroplanes had diverted that night, as is standard practice in bad weather. The pitot tubes (speed sensors) had frozen over as a result. This caused the autopilot to switch off and incorrect readings to be sent to the cockpit. This is expected behaviour, and pilots are trained to recognise this. Believing that the plane was losing altitude, the pilot pulled back on the stick to raise the nose, in an attempt to gain height. The instruments continued to show the plane falling. If an aircraft’s nose is pointed up too far, it loses speed, causing the engines to stall. The correct action is to point the nose down, gaining speed, before levelling off.

With the aid of a flowchart, show how logical thinking could have avoided this accident.

Thinking Abstractly

Thinking Ahead

Thinking Procedurally

Thinking Logically

Thinking ConcurrentlySlide5

Thinking logically

Computational thinking

Air France flight 447

Divert plane to new heading to avoid storm

Continue current course

Losing altitude?

Point nose up

Is the plane stalling?

Point nose down

Is there a thunderstorm ahead?

Yes

Yes

No

No

Flowchart can be extended to include levelling off after pointing the nose up/down, so it does not crash!

Yes

No

Thinking Abstractly

Thinking Ahead

Thinking Procedurally

Thinking Logically

Thinking ConcurrentlySlide6

Thinking procedurally and concurrently

Computational thinking

Cup of coffee

Consider how a typical instant cup of coffee with milk and sugar is made.

Think procedurally to break this process down into a number of smaller sub-problems.

Think concurrently to identify which processes can be done simultaneously.Outline the reasons why some of the processes can and should be done concurrently, and those that can’t.

Thinking Abstractly

Thinking Ahead

Thinking Procedurally

Thinking Logically

Thinking ConcurrentlySlide7

Thinking procedurally and concurrently

Computational thinking

Cup of

coffee

Thinking Abstractly

Thinking Ahead

Thinking Procedurally

Thinking Logically

Thinking Concurrently

Students could also supply in the form of a flow diagram showing choices and decisions such as “Add Milk?” or “Add Sugar?”

Try to tease out the idea of thinking concurrently.

In this example it is clear that the cup of coffee with sugar and milk can be prepared while waiting for the water to boil.Slide8

Thinking abstractly, thinking ahead and thinking logically

Computational thinking

Taxi driver

A taxi driver uses his experience, a GPS navigation system and radio tuned to traffic information to work out how to get passengers from A to B.

In what ways is the taxi driver able to:

Think abstractlyThink ahead

Think logically

Thinking Abstractly

Thinking Ahead

Thinking Procedurally

Thinking Logically

Thinking ConcurrentlySlide9

Thinking abstractly, thinking ahead and thinking logically

Computational thinking

Taxi driver

Possible answers to the challenge:

Thinking abstractly: using road names, road labels, traffic indicators, speed indicator, estimated arrival time on his GPS system to filter appropriate information. Awareness of black spots from accident data.

Thinking ahead: making sure there is enough fuel, planning a route to avoid closed roads.Thinking logically: making decisions when arriving at a junction/crossroads to take a correct turning, making decisions based on traffic ahead.

Thinking Abstractly

Thinking Ahead

Thinking Procedurally

Thinking Logically

Thinking ConcurrentlySlide10

Thinking Abstractly

Thinking Ahead

Thinking Procedurally

Thinking Logically

Thinking Concurrently

Thinking ahead

Computational thinking

New Horizons

In July 2015, New Horizons, a space probe completed a fly-by of the dwarf planet, Pluto. In order for the mission to be a success, the team at NASA had to think ahead considerably in preparation for the mission before it launched in 2006.

Research this mission, and compile a list of ways in which NASA had to think ahead.Slide11

Thinking Abstractly

Thinking Ahead

Thinking Procedurally

Thinking Logically

Thinking Concurrently

Thinking ahead

Computational thinking

New Horizons

Possible answers to the challenge

:

Calculating how long it would take to reach Pluto

Calculating where Pluto would be in it’s orbit for successful arrival.

Calculating the necessary speed, and gravitational assists required to reach the destination at the correct time.

Planning for trajectory corrections, and having sufficient fuel.

Planning what scientific instruments would be needed/could be carried/could be built in the timescales.

Planning how to communicate with a probe with a 4 ½ hour time delay, when it can only do either scientific observation or communication at one time due to orientation.

Planning for potential unknowns, e.g. trajectory to collide with unknown moon/ice debris.

Whether this is a flyby or orbit mission. Flyby reduces the time available for scientific data to be gathered, but requires less fuel and therefore, less weight.

Possible further missions to Kuiper Belt objects.Slide12

Thinking ahead, procedurally and concurrently

Computational thinking

Building a house

Constructing a house is a complicated process. Lots of components have to be considered, and certain tasks can’t be tackled unless others have been started or finished.

Yet thousands of new homes are constructed every year.

Consider the process of building a new house and break down the process into a number of smaller problems and sub-problems. When working out how to break down the problem it will help to think carefully about the order of events which will take place during a houses construction.Also consider which things could be done concurrently (e.g. at the same time) in order to make the process of constructing the house as quick as possible.

Thinking Abstractly

Thinking Ahead

Thinking Procedurally

Thinking Logically

Thinking ConcurrentlySlide13

Thinking ahead, procedurally and concurrently

Computational thinking

Building a house

Thinking Abstractly

Thinking Ahead

Thinking Procedurally

Thinking Logically

Thinking ConcurrentlySlide14

Thinking ahead, procedurally and concurrently

Computational thinking

Jake & Jill's weekly food shop

Jake and Jill are quite fed up of how long they spend in the supermarket each week doing their weekly food shop.

They decide what they want when they are actually walking around the supermarket and they often have to go back multiple times in the week as they run out of items.

This method of shopping is also resulting in a very expensive total weekly shopping bill!How could they use the principles of computational thinking to make their weekly shopping experience as efficient as possible. There overall aims are to:

Spend as little time as possible in the supermarket each week

Save as much money as possible

Thinking Abstractly

Thinking Ahead

Thinking Procedurally

Thinking Logically

Thinking ConcurrentlySlide15

Thinking ahead, procedurally and concurrently

Computational thinking

Jake & Jill's weekly food shop

Thinking Ahead:

Plan out their meals for the week ahead of time

Make a shopping list of all the items they need for their mealsThinking Procedurally:Writing out the shopping list in the order of the supermarket isles

Thinking Concurrently:

Speeding up the shop by taking half the shopping list each

Splitting up and using two checkoutsOne person parking the car while the other starts the shop

Thinking Abstractly

Thinking Ahead

Thinking Procedurally

Thinking Logically

Thinking ConcurrentlySlide16

Thinking logically

Computational thinking

Cash point problem

Thinking logically outline an algorithm which covers the situation of a user withdrawing cash from a cash point:

Present your answer in

either the form of:a flow-chartor pseudo code

Thinking Abstractly

Thinking Ahead

Thinking Procedurally

Thinking Logically

Thinking ConcurrentlySlide17

Thinking logically

Computational thinking

Cash point problem

Flowchart can be extended to include

a PIN number only being allowed to be entered incorrectly up to three times before the card is retained.

This could be done with a counter and a further check on the counter.

Thinking Abstractly

Thinking Ahead

Thinking Procedurally

Thinking Logically

Thinking Concurrently

Start

Update balance

Input card number

Is it the correct

PIN For this

Card?

Input PIN

OUTPUT

“Wrong PIN”

Input amount to

withdraw

Enough

Funds?

Dispense cash

Stop

OUTPUT

“Sorry”

No

No

Yes

Yes

BEGIN

INPUT

CardNumber

REPEAT

INPUT PIN

IF PIN is wrong for this

CardNumber

THEN

OUTPUT “Wrong PIN”

END IF

UNTIL PIN is correct

INPUT Amount

IF there are enough funds THEN

Dispense Cash

Update customer’s balance

ELSE

OUTPUT “Sorry, insufficient funds”

END IF

ENDSlide18

Thinking abstractly

Computational thinking

Maps and Abstraction

Consider the tourist map on the right of city of Manchester.

How has abstraction been used in the production of this map?

Thinking Abstractly

Thinking Ahead

Thinking Procedurally

Thinking Logically

Thinking ConcurrentlySlide19

Thinking abstractly

Computational thinking

Maps and Abstraction

Areas of the city have been colour coded

Road name labels have been added

Picture icons of various attractions have been addedKey locations have been labelled with a circled number

A key has been added with icons for key building such as car parks and post offices

Major ring roads and the river have been coloured differently to clearly stand out

Thinking Abstractly

Thinking Ahead

Thinking Procedurally

Thinking Logically

Thinking Concurrently