Exploring Number Sense with Jo Boaler

The video discusses a research study by British professors Eddie Gray and David Tall, which examined the math strategies of 72 students aged 7 to 13. The study identified four strategies: counting all, counting on, known facts, and derived facts (number sense). Results showed that above-average students used number sense more, while below-average students relied on counting. The study concluded that low achievers learn a more difficult form of math, often receiving procedural help instead of learning to use numbers flexibly.

Who conducted the research on students' mathematical strategies?

• Michael Johnson and Sarah Lee

• Robert Brown and Emily Davis

• Eddie Gray and David Tall

• John Smith and Jane Doe

What age range did the students in the study fall into?

• 5 to 10 years

• 6 to 12 years

• 7 to 13 years

• 8 to 14 years

Which strategy involves students counting all numbers from the beginning?

• Derived facts

• Known facts

• Counting on

• Counting all

What is the strategy called when students continue counting from a given number?

• Counting on

• Counting all

• Known facts

• Derived facts

Which strategy involves students using their memory to recall number bonds?

• Counting on

• Counting all

• Known facts

• Derived facts

What percentage of above average 8-year-olds used number sense?

• 9%

• 72%

• 30%

• 61%

How many below average 8-year-olds used known facts?

• 9%

• 22%

• 6%

• 72%

What did the researchers conclude about low achievers in mathematics?

• They learn a different form of mathematics

• They are not capable of learning mathematics

• They are slow learners

• They need more practice with procedures

What type of help do low achievers often receive in school?

• Flexible use of numbers

• More emphasis on procedures

• Creative problem-solving

• Advanced mathematical concepts

What is the last thing low achievers need according to the research?

• More procedures

• Flexible use of numbers

• Creative problem-solving

• Advanced mathematical concepts