Number Sense, Measurement, and Geometry in Early Childhood
Building Number Sense in Early Childhood
Stages of Number Development
Third Stage: Cardinality Rule
- Children aged 5 to 10 can recognize that the last number counted represents the total (cardinality) of the set.
- They do not connect the order of counting to the relative size of numbers.
- Children do exercises with numbers 1 to 9.
- They identify characteristics and qualities of the set to be counted. If sorting, they understand the desired size and can represent it in words or pictures.
Fourth Stage: Relative
Read MoreQualitative and Quantitative Research Methods: A Comprehensive Overview
Quantitative vs. Qualitative Research
| Quantitative | Qualitative | |
|---|---|---|
| Purpose | Measure, test hypotheses, count, and analyze numerically | Understand experiences, meanings, and perceptions; non-numerical |
| Data | Numbers, statistics, surveys, experiments | Words, images, interviews, observations |
| External Validity | High | Low (context-specific) |
| Internal Validity | High (controlled studies) | Can be high (case studies, in-depth analysis) |
| Reliability | High (consistent results) | Lower (subjective interpretation) |
| Examples | Surveys, experiments, |
Statistical Analysis: ANOVA, Linear Regression, and Logistic Regression
ANOVA: Analysis of Variance
ANOVA (Analysis of Variance) is used to compare means across multiple groups. It tests whether there are significant differences between the means of three or more groups and determines whether variation is due to differences between or within groups.
- Between-group variability: Measures how much the means of different groups differ from one another. It represents the systematic effect of the independent variable.
- Within-group variability: Measures how much individual data
Taxable Base Compensation and Depreciation Methods
Compensation of Negative Taxable Base
The deadline to compensate is 15 years. Settlements (finance) or reversals (make it yourself) may be offset against positive income (+) of the tax periods ending in the subsequent 15 years. If there is no declaration, there is no compensation.
Example
If a year’s negative amount is not stated, and the next year’s amount is positive and stated, you cannot compensate for the negative result that was not previously declared. However, you can make a later statement.
Read MoreFinancial Math: Formulas, Calculations, and Applications
Financial Mathematics: Formulas and Calculations
Tutorial 1: Decimal Shifting and Interest Formulas
- If you get a positive value times a number, you need to shift the decimal to the right as many times as the number specified.
- If the number is negative, move it to the left.
Simple Interest Formula:
S = FV = P(1 + i)k
Compound Interest Formula:
Sk = P(1 + i)k
SN = P(1 + I/T)n
Where:
- I = Interest
- T = Frequency of compounding
- K = Number of years
- N = Total number of periods (K * T or T * K)
Depreciation Formula:
V0
Read MoreSampling, Data Collection, Analysis, and Reporting in Research
Summary 8: Sampling in Research
1. This chapter describes how to select a sample. The first thing you have to ask is who is going to be measured, corresponding to defining the unit of analysis—individuals, organizations, or newspapers. You should then clearly define the population based on the objectives of the study and in terms of content features, place, and time.
2. The sample is a subset of the population previously defined and may be probabilistic or non-probabilistic.
3. Choosing what type
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