1024

4210

0124

—-

4086

8640

0468

—-

8172

8721

1278

—-

7443

7443

3447

—-

3996

9963

3699

—-

6264

6642

2466

—-

4176

7641

1467

—-

6174 (which then repeats forever)

Don’t thank me, thank Kaprekar.

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# Day: April 4, 2019

# 6174

# Social Meaning and Technical Meaning

# High School Math League Practice Questions

# Linguistic note in mathematics

# Non-Standard Praseology Incidents

# Giving students a LOTE

# Esperanto

1024

4210

0124

—-

4086

8640

0468

—-

8172

8721

1278

—-

7443

7443

3447

—-

3996

9963

3699

—-

6264

6642

2466

—-

4176

7641

1467

—-

6174 (which then repeats forever)

Don’t thank me, thank Kaprekar.

Social Meaning and Technical Meaning

The distinction and contrast between social

meaning and technical meaning is engagingly

given by certain expressions that can be taken

either way, such as:

1. How could he?

2. Where does the grizzly bear sleep?

3. How do you clean a firearm?

4. Check your mirrors.

In a given context, one meaning is much more

presumed than the other, and so a joke can

be based on switching the meaning, as in:

Question: Where does the grizzly bear sleep?

Answer: Wherever it wants to.

and

Question: How do you clean a firearm?

Answer: Very carefully.

and

An instance of sincerely misinterpreting

a social meaning as technical meaning

occurs in Willa Cather’s ‘My Antonia’.

and

An instance of jokingly misinterpreting

a social meaning as a technical meaning

occurs in the film ‘Full Metal Jacket’.

Linguistic note in mathematics:

One specifies angles as ‘congruent’ only

at the very beginning of a school-course

in geometry, or on a tournament test in

mathematics. Everywhere else the angles

are simply said to be equal, even if, for

diagramatic purposes, the notation of

congruence must be employed. For example,

two triangles are similar if, and only if, their

corresponding angle are EQUAL (not ‘congruent’),

and the base angles of an isosceles triangle are

EQUAL (not ‘congruent’), and when two parallel

lines are cut by a transversal, corresponding

angles are EQUAL (not ‘congruent’) and so on. There

are two notions of an angle: the geometric one (‘two

rays emanating from a common vertex’) and the

numerical one (the measure of the geometric

angle), and one transitions fairly quickly, and

permanently, from the geometric notion to the

numerical notion. A enlightening juxtaposition

of the two notions occurs in the inscribed-angle

theorem. The ‘inscribed angle’ is the geometric

angle and the corresponding ‘subtended angle’,

which is its measure, is the numerical angle.

Non-Standard Phraseology Incidents

Giving students a LOTE (language other than English)

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