Why Are Basic Math Skills Lacking in Aspiring University Students?

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SUMMARY

The discussion highlights a significant gap in basic math skills among aspiring university students, with specific examples such as the misuse of the FOIL method and confusion over graphing parabolas and circles. Participants express concern over students' lack of retention of fundamental concepts, emphasizing that math is cumulative and requires continuous practice. The conversation also touches on the disheartening experiences of teachers who encounter these deficiencies in higher-level classes, leading to questions about educational approaches and student preparedness for university-level math.

PREREQUISITES
  • Understanding of basic algebraic concepts, including the FOIL method.
  • Familiarity with graphing techniques for parabolas and circles.
  • Knowledge of cumulative learning principles in mathematics.
  • Experience with common mathematical errors and misconceptions.
NEXT STEPS
  • Research effective teaching strategies for reinforcing basic math skills in high school students.
  • Explore methods for assessing student understanding of cumulative math concepts.
  • Investigate the impact of educational psychology on student retention of mathematical knowledge.
  • Learn about curriculum design that emphasizes continuous practice and application of foundational math skills.
USEFUL FOR

Teachers, educators, curriculum developers, and anyone involved in mathematics education who seeks to understand and address the foundational skill gaps in students preparing for university-level studies.

  • #31
Lord Anoobis said:
Nay, thou hast erred. sin(a slightly chilly day) ≈ -sin(boiling hot) implies that boiling hot is a small(ish) negative radian value and a slightly chilly day is the absolute value thereof. Which reeks of sorcery.
I have no idea what that is, but that is just ... Lord Anoobis, if you can turn a math problem into sorcery ... then I really need to know what math you've learned.
Lord Anoobis said:
Of course, my caffeine overdose has not kicked in yet so I may wrong.
Nah, the problem's probably correct. I punched the problem into a ye olden vintage calculator and it gave me a laughing wizard as a the answer.
 
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  • #32
Sometimes I think much faster than I write, and my information generation, transfer,and recording waves become out of phase. My calc professor told me (in a japanse sensai accent) "You are like my old computer, It crash, I did not know why. I work on it. It running too fast, Justlike you! It overheat and crash. You must slloowww down so you don't crash!"
 
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  • #33
ProfuselyQuarky said:
I have no idea what that is, but that is just ... Lord Anoobis, if you can turn a math problem into sorcery ... then I really need to know what math you've learned.
Such knowledge may not be passed to muggles.
 
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