Make the maths accessible

Make the maths accessible
Revealing the depth of simple ideas

 Simple concepts, such as the strength of triangles or the efficiency of hexagons, proved enticing to people who might initially think maths is daunting.   explored the deeper mathematical consequences of these simple ideas or wider applications, which provided interest for the more mathematically experienced.

Start with easy questions that anyone could answer (eg. what shapes/patterns can you see on this building?) and build up questions in layers of understanding.
Give people time to think and respond, don’t be worried by silence, it’s just a little thinking time.
When someone answers a questions, clearly repeat their answer.  This makes sure that everyone has heard the answer and is a nice affirmative response for the person concerned.
Diagnosing the “problem”

Historic differences over maths to science teaching fall into a few, clearly defined “trenches”:

We say “average” you say “mean” –> Resolved. We all say “Mean”

We  use the “mean”,  “mode and median as well” .  We  use the three measures.

So far I’ve collected ideas on:

Numbers, fractions, powers, roots
SI units, scientific notiation
Area, volumes
Estimation
Formula, rearranging, simplifying
Graphs, straight lines, y=mx+c, curves
Angles, sin, cos, tan, Pythagoras
 Log10, Loge
Basic statistics, probability, statistical tests

You'd think mathematics assessment—thought of as “testing” by most people—would be simple. If you want to know what a student knows, why not write (or get an expert to write) some questions about the content you want examined, give those questions to students, see if the answers are right or wrong, and add up a total score? Depending on your predilections (and how much time you have available) you might give a multiple-choice test. You might give an “open answer” or “constructed response” test in which students show their work. You could give partial credit if you wish.
discovering what mathematics a person (typically, a student) knows—seems straightforward.