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A guide to George Polya's "How to Solve It"

Introduction

George Polya (1887-1985) was a Hungarian mathematician and educator who revolutionized our understanding of problem-solving and teaching. While he made significant contributions to mathematics, his most enduring legacy is his insights into how people learn and solve problems. His 1945 book "How to Solve It" has influenced educators across numerous fields, extending far beyond mathematics.

Polya's Teaching Philosophy

Polya's approach centered on three key principles. First, he championed active learning, believing students learn best by discovering solutions themselves rather than being told answers. Second, he emphasized heuristic thinking - the art of guided discovery and learning from experience, viewing problem-solving as a skill that can be developed through practice. Third, he developed sophisticated questionin

crowsonkb

#!/usr/bin/env python3

"""Pads an image for Bluesky."""

import argparse
import math
from pathlib import Path

from PIL import Image

drscotthawley

import pysox
import librosa
import numpy as np

def apply_sox_effect(signal, sr, fxstr):
    # This writes signal to a .wav file, processes it sox to another file, loads that and returns it.
    #
    # signal:  a numpy list of numbers; the audio signal
    # sr:      the sample rate in Hz, must be an integer
    # fxstr:   a semicolon-separated string starting with the effect name followed by parameter values in order