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There are several ways to teach multiplication. Many people seem to feel that students know best how they learn, so I'm asking students to weigh in on this particular issue.
Which method is best? Is there a difference between what we should be doing with elementary students and with high school students? With how much and with what do students need to graduate high school and enter the RealWorld?
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Philosophy professor Keith Parsons
Message to My Freshman Students:
"Lecture, we are told, is an ineffective strategy for reaching today's young people, whose attention span is measured in nanoseconds ..."
Hogwash.
You need to learn to listen. The kind of listening you need to learn is not passive absorption, like watching TV; it is critical listening.
Critical listening means that you are not just hearing but thinking about what you are hearing.
Critical listening questions and evaluates what is being said and seeks key concepts and unifying themes.
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Could you teach kids without using grades?
Would kids learn without using grades?
Should we be using grades?
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This quote should be on the cover of our national curriculum:
"Information is not knowledge, knowledge is not wisdom."
Pupils should gain knowledge and understanding about becoming informed citizens including human rights, the diverse national, regional, religious and ethnic identities in the United Kingdom, the media's role in society, including the internet, wider issues and challenges of global interdependence and responsibility, including sustainable development and Local Agenda 21.
Pupils should develop the skills of enquiry and communication including researching political, moral, social issues, problems or event by analysing information from different sources, showing an awareness of the use and abuse of statistics, expressing, justifying and defending orally and in writing personal opinions about them, and contributing to group and exploratory class discussions and debates.
~ James Gleick
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"Math is when we make stuff up and see what happens."
~ Vi Hart
Is this a good way to create new understanding in a course we're studying?
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So, who ya got?
~ Melissa D (@Dean_of_math)
.: [Teacher Education], [Twitter], [DebateMath].
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Let's normalize allowing learners to use resources during a test. I'm 44 years old, and I've had more jobs than Moses. I've never needed to recite something from memory. My ability to know how and where to find things is what has helped me succeed.
- Victor Villegas, Ed. D.
Is the students' grade level important?Which Resources ...
Is the course important? (e.g., Algebra 2 vs MS Math)
What are some other factors you considered?
Specific resources, or any resource?
Is a calculator a "resource" in this discussion?
Desmos?
WolframAlpha?
Photomath?
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Why do we do this, anyway?
\( \frac{1}{\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}} = \frac{\sqrt{2}}{2} \)
\( \frac{1}{1+4i} * \frac{1-4i}{1-4i} = \frac{1-4i}{17}\)
We have calculators.
Is this really necessary?
Historical reasons?
Practice the process for later use?
I say we keep it in the Curriculum.
What do you think?
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Why do we do this, anyway?
We have calculators. We don't need to approximate a root in such a clunky fashion. Is this really necessary?
Historical reasons?
Practice the process for later use?
I say we throw it out.
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Great question asked by a friend: should high school math be compulsory?
— Chris Luzniak (@cluzniak)