The document provides guidance for teaching early math concepts through play-based activities. It outlines objectives to help trainees recognize math topics that can be taught in early years using play, different teaching strategies for conceptual clarity, and how to design hands-on activities and manipulatives. A variety of math concepts are described such as numbers, measurement, shapes, classification, and data collection. Sample activities are provided to demonstrate teaching topics like addition, subtraction and spatial understanding. The importance of early math success and developing conceptual understanding through concrete experiences before moving to pictorial then abstract representations is emphasized.
Looking to build mathematical reasoning, number sense and academic language? This presentation will show key components of Math Talks, K-5 math strategies, scaffolds for English Learner participation and videos of ELs doing Math Talks within a co-teaching model. Attendees will participate in a Math Talk and leave with handouts to take back to their classroom.
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Looking to build mathematical reasoning, number sense and academic language? This presentation will show key components of Math Talks, K-5 math strategies, scaffolds for English Learner participation and videos of ELs doing Math Talks within a co-teaching model. Attendees will participate in a Math Talk and leave with handouts to take back to their classroom.
308. Don't FAL out;Techno IN!
This session will share several formative assessment lessons, activities and strategies that we have used within our classes as well as technology resources we have found very useful. Handouts are available online. You will feel like a kid leaving a candy shop!
Presenter(s): Jo Harris, Olivia Valk, Cody Powell
Location: Biltmore
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The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
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He discussed the concept of quality improvement, emphasizing its applicability to various aspects of life, including personal, project, and program improvements. He defined quality as doing the right thing at the right time in the right way to achieve the best possible results and discussed the concept of the "gap" between what we know and what we do, and how this gap represents the areas we need to improve. He explained the scientific approach to quality improvement, which involves systematic performance analysis, testing and learning, and implementing change ideas. He also highlighted the importance of client focus and a team approach to quality improvement.
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For more information, visit-www.vavaclasses.com
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For more information, visit-www.vavaclasses.com
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
3. Objectives
By the end of the session the trainees will be able to :
Recognize different topics and mathematical concepts taught in
early years through play based Teaching Learning
Use variety of strategies to motivate students
Plan, prepare and conduct Play based activities for conceptual
clarity
Design Teaching Aids to teach Mathematics
Experience using different manipulatives to teach Mathematics
5. Importance of Early Math Success
Mathematic competence is a powerful predicator for future economic success for
individual for society.
Success in Mathematics requires more the just computational skills, it also
requires the ability to apply mathematics in solving problems,
to process information from variety of sources and technologies, and to assess
and use quantitative information to make decisions.
Students with poor understanding of mathematics will have fewer opportunities
to pursue higher level of education, to compete for good jobs and to function as
informed and intelligent citizen.
Some knowledge of mathematics is essential for most occupations, and many
require more sophisticated level of knowledge .
In addition , of course , an understanding of mathematics can be personally
satisfying and empowering.
6. Activity: Choose a topic, Demonstrate
Play Group Teachers : Recognitions of numbers
Nursery Teachers : Adding sets
Prep Teachers : Subtraction
7. Shapes and Forms
Flat shapes
Square
Circle
Triangle
Rectangle
Solid Shapes
Cube
Cone
Sphere
8. Activity: Choose a Topic from Shapes & Forms
Play Group Teachers : Flat shape square
Nursery Teachers : Flat shape Circle
Prep Teachers : Solid Shape Cuboid
9. The six Rs of Oral Mental Starters
Rehearse: To practise and consolidate existing mental
calculation skills
Recall: To secure knowledge of facts, usually number
facts
Refresh: To draw on and revisit previous learning
Refine: To sharpen methods and procedures
Read:To use mathematical vocabulary and interpret
images, diagrams and symbols correctly
Reason: To use and apply acquired knowledge, skills and
understanding; make informed choices and decisions,
predict and hypothesise
11. Activity: Choose a Topic from Classification and
Demonstrate :
Play Group Teachers :Big & Small
Nursery Teachers : Thich & Thin
Prep Teachers : Tall and Short
13. Size and Seriation
Comparisons
Shapes
Sizes
Color
Texture
Weight
Arranging in Order
14. Words for Describing Spatial Sense
Location/Position Movement Distance Transformation
on below Up down Near far Turn
Off in front off Up-words down-words Close to far from Flip
On top of behind Forward around Shortest path Slide
Out by Through to Longest path
Into next to From towards
Bottom Upside down Away from across
Above between Back and forth
18. Teaching Strategies
Games
Activities
Manipulatives
Cooperative teaching learning
Concrete experience
Demonstrative
Use of models/ Pictures
Problem Solving
Concept clarification
Mental Math
Interdisciplinary Approach
Jigsaw Puzzles
19. Activity: Playing and demonstrating given
games
Play group Teachers : Classification: sorting big/small objects game
Nursery Teachers : Size and Seriation : Comparing thing accdoring to
size , shape and texture game
Prep Teachers : Spatial Sense: Book and pencil game
22. Random
Thoughts…
How many of you could build a computer
after sitting in a computer programming class
and listening to your
teacher tell you how to build a computer?
How many of you could fly a plane without ever
touching the controls prior to your first flight?
How is this important to the classroom?
23. CONCRETE (1st stage)
The “doing” stage. Uses hands-on physical (concrete)
models or manipulatives to represent numbers and
unknowns.
Concrete/
Pictorial/
Abstract
C-P-A
PICTORIAL (2nd stage)
The “seeing” stage. Draws or uses pictorial representations of the
models.
ABSTRACT (3rd stage)
The “symbolic” stage. Involves numbers as abstract symbols of
pictorial displays.
Conceptual understanding in math will usually follow this order.
Therefore it is best to use manipulatives to introduce lesson
and/or concept.
24.
25.
26. Physical objects that are used as
teaching tools to engage students in
the hands – on learning of
mathematics.
What are
Manipulatives?
27.
28. Some more games to enjoy!
Missing number. Teacher counts forwards or backwards in a sequence, missing
out one of the numbers, e.g 50, 40, 20, 10. Children discuss in pairs which
number was missing. A puppet is useful for playing the character that can’t
count. The children then explain so the puppet corrects the errors.
Guess the number. Exactly the same as traditional letter hangman but using a
number sequence (4 to 8 numbers) in place of a word. This can be easily
adapted to any year group. For younger children select a sequence such as 3,
4, 5, 6, progress to using multiples of numbers, fractions, and decimals etc.
Initially clues can be given by providing one number in the sequence of
between 4 and 8 numbers. e.g. ____ 40 _____
29. Stand up, sit down. In pairs children write a number on a
whiteboard or make with a number fan (you can limit the range of
numbers or leave it open). You select a statement such as “more
than 50”, “multiple of 12”, “less than half of 20”. Give children 5
seconds to discuss whether their number matches your
statement. If so, when you say go, they stand up. Ask children to
explain how they know their number fits the statement.
Near or far. Select three different random digits. Children work in
pairs. Teacher says a statement such as “close to 300”, “less than
200”, “close to quarter of a thousand”. Children then have to
rearrange the digits and write their answer on a whiteboard.
Discuss who is closest and why. This activity is easily
differentiated by using two digit or four digit numbers and/or
adjusting the statements you use
30. Counting sounds. Children close their eyes while you drop objects
e.g. conkers into a tin. They count the sounds and show how
many are in the tin using number fans. Count the objects out
again to check who is right. Extend the task by telling the children
each sound is worth 2, 5 10 etc.
Multiple counting. Count forwards or backwards in ones from
different starting numbers. On a given multiple perform an action
e.g. hands on heads, clap.
A variation is to not actually say the number, just perform the
action. Make more difficult by including two actions, e.g. clap on
multiples of 2 and stand up on multiples of 10. Discuss the
numbers where two actions were performed.
31. Conclusion:
Games give students opportunities to explore fundamental number concepts, such as the counting sequence,
one-to-one correspondence, and computation strategies. Engaging mathematical games can also encourage
students to explore number combinations, place value, patterns, and other important mathematical concepts.
Playing games encourages strategic mathematical thinking as students find different strategies for solving
problems and deepen their understanding of numbers.
When played repeatedly, games support students’ development of computational fluency.
Games present opportunities for practice, often without the need for teachers to provide the problems.
Teachers can then observe or assess students and work with individuals or small groups of students.
Games have the potential to allow students to develop familiarity with the number system and with
“benchmark numbers” (such as 10s, 100s, and 1000s) and engage in computation practice, building a deeper
understanding of operations.