Transcript Competencia 16 Matematicas

Competencia 16
Matematicas
The teacher understands how children
learn mathematical skills and uses
knowledge to plan, organize, and
implement instruction and assess
learning.
Erwin Garcia
Principles of Mathematics
Equity
Curriculum
Teaching
Learning
Assessment
Technology
Principles of Mathematics
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Equity: High expectations
Curriculum: Coherent-aligned
Teaching: Understanding
Learning: Building from previous
knowledge.
 Assessment: Support learning
 Technology: Enhances learning
Content Standards
Number and operations:
number sense,
fractions, basic computation
Algebra: Patterns
Geometry: Shapes and spatial reasoning
Measurement: Standard and Metric
Data analysis and probability:
collection and analysis and display of mathematics
information
Process Standards
Problem solving
Developmentally appropriate
Reasoning and proof
Communication
Connections
Representations
Linked to real life situations
TEKS
Texas Essential Knowledge and Skills
Kinder> Number sense, concrete
objects, one to one correspondence.
First, Second> Addition, subtraction.
Third-firth> Multiplication, division,
fractions, decimal representations,
geometry principles, and algebraic
reasoning.
Cognitive Development and
Mathematics
Piaget
Preoperational (2-7)
Concrete Operational (2-11)
Classification
Seriation and ordering
Conservation
Reversibility
Conclusions based on reason rather than
perception
Manipulatives
Mathematics and English
Language
Mathematics is not an
universal language
Competency 017
“The teacher understands concepts
related to numbers and number
systems and demonstrates
knowledge of patterns, relations,
functions, and algebraic reasoning”.
Algorithms
An algorithm is a set of rules
for solving a math problem
which, if done properly, will
give a correct answer each
time.
Competency 017
Competency 017
“The teacher understands concepts
related to numbers and number
systems and demonstrates
knowledge of patterns, relations,
functions, and algebraic reasoning”.
Competency 018
“The teacher understands concepts
and principles of geometry and
demonstrates knowledge of
probability and statistics and their
application”.
Competency 018
Point= Is a specific location, taking
up no space, having no area, and
frequently represented by a dot. It
has no dimensions.
Competency 018
Line= Between any two points there
is exactly one straight line. They
have infinite length.
Plane= flat surface without edges,
two dimensional it has infinite length
but no breadth nor depth.
Competency 018
Competency 018
Segment= is any portion of a line between
two points on that line.
Ray= Is like a segment, except it extends
forever in one direction.
Angle= When two rays share their end
points.
Competency 018
90 degrees right angle
Less than 90 degrees acute angle
Greater than 90 degrees obtuse
Competency 018
Polygons
Lines of symmetry
Diameter and radius
Perimeter
Area
Volume
Cube
Competency 018
Polygons
Lines of symmetry
Diameter and radius
Perimeter
Area
Volume
Cube
Competency 018
Triangles
Isosceles = two equal sides
Equilateral= All sides equal
Scalene= All sides are unequal
Competency 018
Competency 018