Mystic Number 7

aplusclicksevenplanets

Why we frequently use number 7?

Why there are seven days of week? seven deadly sins? seven wonders? . . . .

Look for the answer in the night sky or at aplusclick.com

2015 OECD PISA Global Education Survey

The top OECD countries were Singapore, Japan, Estonia, Finland and Canada. These countries also achieve high levels of performance and equity in education outcomes.

pisa2015-math

Source: OCDE

More than one in four students in Beijing-Shanghai-Jiangsu-Guangdong (China), Hong Kong (China), Singapore and Chinese Taipei are top-performing students in mathematics, a higher share than anywhere else.

Students in larger schools score higher in science and are more likely than students in smaller schools. Students in smaller schools reported a better disciplinary climate.

Gender gap: the share of top performers in science is larger among boys than among girls. Finland is the only country in which girls are more likely to be top performers than boys. Girls mostly seek positions in the health sector and boys  in becoming ICT professionals, scientists or engineers.

Five sample PISA Math questions:

  1. Cycling
  2. Numbers
  3. Many years ago
  4. Australia, Germany, and USA
  5. Math test score

 

Calculate or guess? The answer is YES.

calculate_guesstimateWhen required to make a decision, I have the option to produce simple calculations, guess, or even refuse to decide. What is better?

The answer depends on many circumstances, including:

  • Complexity of the challenge.
  • Usefulness of the conclusion.
  • Individual ability / habits to analyze challenges.
  • Time available.

I meet difficult challenges very often. What technique should I use? Should I work it out or should I guess?

Calculations are beneficial in terms of time and money in the following examples:

I am ready to spend my time on simple analysis and calculation in such cases.

Weinstein and Adam [1] advise guesstimating certain categories of challenges. A guesstimate is an informal English contraction of guess and estimate and is used to describe an estimate made without complete information. Another term for this is an educated guess at something for which no better information will become available.

There are a group of challenges called “Fermi problems” (after the great nuclear physicist) that will be accurate to within an order of magnitude. A mistake up to 10 times is acceptable. The examples are:

I need to guesstimate in order to answer such questions.

The answer to the question in the title “Calculate or Guess?” is yes. I calculate when I have time and the ability, I guesstimate when a conclusion with order of magnitude is acceptable, and I trust my gut feeling in all other cases.

1. Lawrence Weinstein and John A. Adam, Guesstimation: Solving the World’s Problems on the Back of a Cocktail Napkin. 2008 Princeton University Press. ISBN 9780691129495