Questions tagged [logic]
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75 questions
6 votes
1 answer
210 views
If...then...: teaching truth tables and proof methods
In my experience, students who are new to writing their own proofs can get confused about the difference between: truth tables related to if-then statements; e.g., defining when "if p, then q&...
- 211
2 votes
0 answers
316 views
Why don't textbooks simplify their propositions written in natural language?
too many students are overwhelmed by the relationship between statements in idiomatic English, and more formal language like propositional logic. for example, they are stumped that the English ...
- 67
8 votes
2 answers
241 views
Why do students misuse and misunderstand the terms "or", as well as "and" in probability?
I'm an instructor for an intro to stats course, where I handle the classes with active learning components/exercises. I've noticed, both in class and in office hours, is a very pervasive ...
- 233
3 votes
1 answer
300 views
Multiple-choice questions and negative sentences
During the French national assessments for 7 years old children, pupils had to circle the correct picture to match a sentence. The sentence in question was: ‘The girl is not running’. "La fille ...
- 41
-4 votes
1 answer
251 views
How to intuit ¬(P ⟺ Q) ≡ ¬P ⟺ Q?
What story proof can help undergrads intuit this equivalence? I’m seeking a story proof like Perhaps a more intutive way of grasping what IFF mean, is the following: P IFF Q, means that whenever ...
- 67
1 vote
0 answers
80 views
Looking for insights on a new framework for teaching math through clear trails and familiar anchors [closed]
I’ve been working on a new instructional framework for modern math based on irreducible route units and roadmaps, where logical steps are explicitly justified and anchored to familiar concepts and ...
- 11
-1 votes
1 answer
148 views
Either this OR that and the Unsaid! [closed]
I am reading logic and in it I am reading OR, so comes along this Sentence, Either this or that, (for an Expression pVq). So currently we are in the Logic universe where hardly anything exists, except ...
- 419
6 votes
1 answer
292 views
chaining implications and equivalences in proofs
I have a question (more of a "sanity check") regarding the interpretation of proofs one often encounters, particularly in university-level courses where proofs are written on blackboards. ...
- 181
0 votes
1 answer
237 views
Should more basic methods of proof be taught BEFORE induction?
Would it help to introduce students to methods of proof more basic than induction, e.g. how to structure a simple proof with a premise and a conclusion, how to generalize, etc.? Maybe start with ...
- 1,326
1 vote
3 answers
287 views
How can I teach, how to replace 'unless' with 'if not'?
This is my first time teaching from Stan Baronett's Logic (5 ed, 2022). For brevity, let "president" be POTUS. How do I teach these 2 difficulties to high schoolers? In order to translate ...
- 189
2 votes
2 answers
605 views
How can middle school students intuit 'if not" = "except if'?
The word “unless” means “if not”.† We use the conjunction unless to mean ‘except if’. A Practical English Grammar reads: Unless means 'except if' "Unless" cannot be used to replace "...
- 171
0 votes
5 answers
525 views
Truth tables. What does a truth valuation of a formula even mean?
What does a truth table even mean? Does anyone actually spell it out anywhere? (reference please). People feel like the are not taught rigorously like limits are. Edit: What does it mean for a (non-...
- 119
8 votes
3 answers
1k views
Dominance of connectives: Why do we teach this?
These were two actual exercises given to students I have been tutoring for a college algebra class: I have been working very hard to convince my students of the importance and utility of learning ...
- 404
4 votes
2 answers
597 views
Looking for interesting tasks and activities for 6th grade students for a course on problem solving
I am a teacher at a gifted center up to middle school grades, and I am looking for interesting tasks and activities for gifted 6th grade students for a course on problem solving and using varied ...
- 41
1 vote
0 answers
200 views
When Interpreting "If A, then B" as "A coupled with B" is rational?
It is known that the meaning of a conditional statement in fuzzy logic can vary depending on the interpretation and context. As we know, some ones interpret "if A, then B" as "A coupled ...
- 151