This document proposes an action research study that will integrate the Word-Mathics Telling approach in teaching General Mathematics and English to Grade 11 students. The study aims to determine the learning experiences of students and teachers during the intervention. 20 students will participate in daily Word-Mathics activities for 6 weeks. Data collection will include observation checklists for students and teachers, and interview questions for students. The Word-Mathics approach encourages students to express math equations and stories using words and numbers. It is hoped that this metacognitive strategy will improve students' literacy and numeracy skills.
CROSS-CURRICULAR ELEMENTS IN MATHEMATICS CURRICULUM.pptxNuranis Khalida
MTES3063 Cross-Curricular Elements in Mathematics Curriculum
Date : 5 October 2022
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The document discusses mathematics curriculum and approaches suggested by the National Curriculum Framework (NCF) and Kerala Curriculum Framework (KCF). It notes that NCF aims for students to enjoy mathematics, see relationships, and understand its basic structures. KCF emphasizes relating mathematics to daily life and higher studies. The conclusion states the higher secondary curriculum should provide an appreciation of mathematics' applications while balancing depth versus breadth.
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Math anxiety is a real challenge that affects learners of all levels. It has intrinsic risk factors related to individuals' attitudes and emotions, as well as extrinsic factors related to teaching methods. Strategies to address math anxiety include developing positive attitudes, using collaborative work, emphasizing multiple problem-solving approaches, and making connections between informal and formal mathematical knowledge. While math anxiety is pervasive and deeply felt, it is learned and teachers have opportunities to help learners unlearn anxieties through empathy, awareness of different risk factors, and incorporating diverse teaching strategies.
This document discusses approaches to mathematics curriculum as suggested by the National Curriculum Framework (NCF) and Kerala Curriculum Framework (KCF). It outlines three levels of mathematics taught in schools: daily life calculations, concepts for higher education, and more complex theoretical ideas. The document also examines why students find mathematics difficult and why it is important to learn. It proposes teaching mathematics in a way that makes it enjoyable and helps students think logically and communicate numerically. The goal is for students to understand fundamental concepts and have confidence in their mathematical abilities.
Research in mathematics education primarily focuses on improving teaching and learning approaches in mathematics. The objectives of mathematics education research include teaching basic numeracy skills, practical mathematics applications, abstract concepts, problem solving strategies, and deductive reasoning. Continuing research is important to develop useful tools and concepts, train abstract thinking, and improve teacher understanding of how students learn. Current areas of focus include conceptual understanding, formative assessment, homework, helping struggling students, and algebraic reasoning. New areas of research thrusts relate to teacher education, using resources, language and communication, contextualized learning, reasoning skills, and integrating technology into mathematics instruction.
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This document summarizes the key findings and recommendations from the US National Mathematics Advisory Panel's 2008 report on modernizing mathematics curriculum and instruction in the United States. The summary highlights that the Panel recommended streamlining the K-8 mathematics curriculum to focus on mastery of key topics like fractions that are critical foundations for algebra. It also recommended ensuring all students have access to an authentic algebra course by 8th grade and that teachers need to have strong content knowledge in algebra topics. The Panel found limited evidence that calculators improve math skills and called for more high-quality research on effective instructional practices.
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2) Both the Assam state curriculum and textbooks from 1998-2009, and the recently adopted NCERT textbooks, contain numerous recreational activities aimed at different class levels.
3) Activities encourage logical thinking, application of concepts, and retention of mathematical facts and skills. They involve students individually, in groups, and as a whole class.
The document discusses six secrets of highly effective lesson design: 1) addressing students' prior knowledge, 2) having students explore and question rather than receive didactic lectures, 3) using varied activities to engage students, 4) using formative assessments to evaluate lessons, 5) providing high cognitive demand tasks for conceptual understanding, and 6) having students arrive at conclusions and evaluate knowledge through questions and exercises. The document emphasizes the importance of lesson design in ensuring equity in students' opportunities to learn mathematics.
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Math anxiety is a real challenge that affects learners of all levels. It has intrinsic risk factors related to individuals' attitudes and emotions as well as extrinsic factors related to teaching methods. Strategies to address math anxiety include developing positive attitudes, using collaborative work, emphasizing multiple problem-solving approaches, and making connections between informal and formal mathematical knowledge. While math anxiety is pervasive and deeply felt, it is learned and teachers play an important role in helping students overcome challenges through empathy, awareness of different learning styles, and embracing informal methods of teaching mathematics.
Math anxiety is a real challenge that affects learners of all levels. It has intrinsic risk factors related to individuals' attitudes and emotions, as well as extrinsic factors related to teaching methods. Strategies to address math anxiety include developing positive attitudes, using collaborative work, emphasizing multiple problem-solving approaches, and making connections between informal and formal mathematical knowledge. While math anxiety is pervasive and deeply felt, it is learned and teachers have opportunities to help learners unlearn anxieties through empathy, awareness of different risk factors, and incorporating diverse teaching strategies.
This document discusses approaches to mathematics curriculum as suggested by the National Curriculum Framework (NCF) and Kerala Curriculum Framework (KCF). It outlines three levels of mathematics taught in schools: daily life calculations, concepts for higher education, and more complex theoretical ideas. The document also examines why students find mathematics difficult and why it is important to learn. It proposes teaching mathematics in a way that makes it enjoyable and helps students think logically and communicate numerically. The goal is for students to understand fundamental concepts and have confidence in their mathematical abilities.
Research in mathematics education primarily focuses on improving teaching and learning approaches in mathematics. The objectives of mathematics education research include teaching basic numeracy skills, practical mathematics applications, abstract concepts, problem solving strategies, and deductive reasoning. Continuing research is important to develop useful tools and concepts, train abstract thinking, and improve teacher understanding of how students learn. Current areas of focus include conceptual understanding, formative assessment, homework, helping struggling students, and algebraic reasoning. New areas of research thrusts relate to teacher education, using resources, language and communication, contextualized learning, reasoning skills, and integrating technology into mathematics instruction.
The document discusses the mastery approach to teaching mathematics commonly followed in high-performing East and Southeast Asian countries. It outlines key principles of the mastery approach, including high expectations for all students, keeping most students progressing at the same pace, and using precise questioning and regular assessment to identify and support students needing intervention. The 2014 UK national curriculum reflects this mastery approach, aiming for most students to achieve mastery of mathematics. Teachers require in-depth subject and pedagogical knowledge to effectively implement this approach.
This document summarizes the key findings and recommendations from the US National Mathematics Advisory Panel's 2008 report on modernizing mathematics curriculum and instruction in the United States. The summary highlights that the Panel recommended streamlining the K-8 mathematics curriculum to focus on mastery of key topics like fractions that are critical foundations for algebra. It also recommended ensuring all students have access to an authentic algebra course by 8th grade and that teachers need to have strong content knowledge in algebra topics. The Panel found limited evidence that calculators improve math skills and called for more high-quality research on effective instructional practices.
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The document summarizes a study on the role of recreational activities in developing mathematics learning. Some key findings:
1) Recreational activities like games, puzzles and riddles help make mathematics enjoyable, reduce students' fear of the subject, and aid in conceptual learning.
2) Both the Assam state curriculum and textbooks from 1998-2009, and the recently adopted NCERT textbooks, contain numerous recreational activities aimed at different class levels.
3) Activities encourage logical thinking, application of concepts, and retention of mathematical facts and skills. They involve students individually, in groups, and as a whole class.
The document discusses six secrets of highly effective lesson design: 1) addressing students' prior knowledge, 2) having students explore and question rather than receive didactic lectures, 3) using varied activities to engage students, 4) using formative assessments to evaluate lessons, 5) providing high cognitive demand tasks for conceptual understanding, and 6) having students arrive at conclusions and evaluate knowledge through questions and exercises. The document emphasizes the importance of lesson design in ensuring equity in students' opportunities to learn mathematics.
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1. Presentation Outline
Session Objectives
Brain Exercises
Introduction: K to 10 Mathematics
Curriculum Framework
Numeracy
Key Components of Numeracy
National Mathematics Program
Wrap Up
2. At the end of the session, participants will be able
to:
gain deeper knowledge and understanding of
numeracy and its key components;
discuss and explain the features of the
National Mathematics Program; and
foster adaptability and openness to
embracing the National Mathematics
Program.
Session Objectives
3. Enhanced Basic Education Act of 2013
Conceptual Framework of
Mathematics Education
Critical Thinking
Problem Solving
4. Mathematical literacy…a serious problem in the Philippines
Philippines rank 2nd to worst in
Grade 5 students’ reading, math
skills in South-east Asia
The average score of Filipino Grade 5 students in
mathematics assessment was 288, indicating that
they can generally apply number properties and
units of measurement, but only 17 percent had
the ability to perform mathematical operations,
including fractions, and interpret tables and
graphs.
6. What is early numeracy?
Numeracy or “numerical literacy” refers to
the ability to reason with numbers and
apply mathematical concepts
7. Numeracy is the knowledge, skills, behaviors and
dispositions that students need in order to use
mathematics in a wide range of situations. It involves
recognizing and understanding the role of
mathematics in the world and having the dispositions
and capacities to use mathematical knowledge and
skills purposefully.
Numeracy
Numeracy
8. The National Council of Teachers of Mathematics
(NCTM) defines numeracy as the ability and
disposition to use mathematics to meet the practical
demands of life at home, in the workplace, and in
society.
Numeracy
9. The Australian Council for Educational Research
(ACER) defines numeracy as the capacity,
confidence, and disposition to use mathematics to
meet the needs of everyday life.
Numeracy
10. “To function in today’s society, mathematical literacy (what the
British call “numeracy”) is as essential as verbal literacy. These
two kinds of literacy, although different, are not unrelated. Without
the ability to read and understand, no one can become
mathematically literate. Increasingly, the reverse is also true:
without the ability to understand basic mathematical ideas, one
cannot fully comprehend modern writing such as that which
appears in the daily newspapers.”
-- National Research Council, 2001
Why is “numeracy” important?
11. Why is “numeracy” important?
Helps children observe, organize and find meaning
in their environment
Focuses on reasoning, connecting ideas and
thinking logically – important tools children can use
to make sense of their world
12. Why is “numeracy” important?
Relates to other curriculum areas, such as science,
social studies, and music
Math knowledge, interest, and skill are basic
to children’s success in school
13. What does the research say about early numeracy?
According to the National Council of Teachers
of Mathematics (NCTM)…
Learning about math is neither short-term nor rote
(e.g. chanting 1-10)
Children need to manipulate objects and
explore math concepts in a materials-rich
environment
14. What does the research say about early numeracy?
This means they need to have the opportunity to touch
things when they count
Use a variety of different things to count: blocks, dolls,
cars, dried peas or beans etc.
To give children the opportunity to understand
mathematical concepts through real events e.g. time,
length, weight etc
15. What does the research say about early numeracy?
Technology if used age appropriately, can be one
component of early math education
Children need time and freedom to construct, test,
and reflect on (think about) their ideas about math
16. What does the research say about early numeracy?
Natural conversations with adults help
children extend their thinking about math
Activities/concepts should be grounded in
the familiar and their everyday life.
17. What does the research say about early numeracy?
According to the authors of “Mathematical Language
in Early Childhood Settings: What Really Counts?”
Language is an important tool for
teaching
mathematics
The most effective mathematics instruction occurs
when people working with children take a “playful
approach”
18. What does the research say about early numeracy?
According to the authors of “Mathematical Language
in Early Childhood Settings: What Really Counts?”
We need to “stack the deck” so that children have
a wealth of opportunities to encounter interesting
mathematics
19. In other words,…
We support young children’s numeracy
development when we purposefully introduce and
use mathematical language and concepts during
enjoyable activities and everyday experiences.
Some people call this process “mathematizing”
20. Basic Arithmetic Skills
Key Components of Numeracy
Problem-Solving
Critical Thinking
Spatial Reasoning
Data Interpretation
Mathematical
Communication
Quantitative Literacy
22. Problem-Solving
The capacity to apply mathematical
concepts to solve real-world problems,
make decisions, and analyze situations.
Key Components of Numeracy
23. Critical Thinking
The ability to think logically and critically
about quantitative information, assess
its relevance, and draw meaningful
conclusions.
Key Components of Numeracy
24. Key Components of Numeracy
Spatial Reasoning
Understanding and interpreting spatial
relationships, shapes, and structures,
which is crucial in fields such as
geometry and engineering.
27. numerical information and
Quantitative Literacy
Having a general understanding of
its
implications in different contexts, such
as finance, science, and everyday
decision-making.
Key Components of Numeracy
31. National Mathematics Program (NMP)
The National Mathematics Program (NMP) is a
proactive approach that addresses the diverse needs
of Key Stage 1 learners by providing more focused,
targeted instruction and reinforcement aligned with
the national curriculum to learners with the greatest
need for personalized attention.
32. National Mathematics Program (NMP)
Guided by the principles of collaborative learning,
differentiated instruction, play-based approach, and
hands-on learning, this program will enable learners
to enhance their foundational mathematical skills and
knowledge, preparing them to navigate an
increasingly math-driven world.
33. National Mathematics Program (NMP)
Cultivating mathematical proficiency at the
foundational level and fostering a culture of positive
attitude towards Math, this program operates on the
following guiding principles:
A shared belief that all learners can learn and
progress as a result of strong foundational
skills acquired during the formative years of
instruction.
34. National Mathematics Program (NMP)
A shared commitment to quality classroom instruction that is
informed by relevant and quality learning and
assessment resources anchored on the standards.
Targeted mathematics instruction that requires recognizing what
students need to know and learn and then challenging and
supporting them to learn it well. This entails designing instruction
that is adaptive and fluid i.e., not determined by specific placement
or categories, but supported by data from the diagnostic
assessment, progress monitoring, and how a learner responds to
the mathematics learning experience.
35. National Mathematics Program (NMP)
A leadership team that clearly provides constant guidance
and is actively engaged in addressing issues (such
as identifying and removing learning barriers),
coupled with technical assistance (planning to
promote collaboration and teaching discussion,
and mobilizes resources (provision of relevant
tools and materials) to the learners and teachers for
the smooth implementation of the program.
36. Goals and objectives of the NMP
Enhance mathematical
understanding
Address individual
learning needs
Foster a positive attitude
toward Math
37. Goals and objectives of the NMP
Enhance mathematical understanding
Provide engaging, fun, and interactive learning
experiences that allow learners to solidify their
understanding of fundamental mathematical concepts and
enhance early numeracy skills that will help and prepare
them to progress to higher mathematical concepts and skills
in later schooling.
38. Goals and objectives of the NMP
Address individual learning needs
Cater to the diverse learning needs of students
by offering targetted instruction tailored to their
abilities based on sound assessment practices.
39. Goals and objectives of the NMP
Foster a positive attitude towards Math
Cultivate learners with a positive attitude
learning
towards
coincides
math in which social-emotional
with academics, and each can
help
strengthen the other resulting in a more engaged and
active learner.
40. National Mathematics Program
Grades 1 to 3
learners
Strategically support and
accelerate learning progress
on the mathematical
fundamental skills and
numeracy among key stage
1 learners
Pre and Post-
Assessment Tools
Rapid Mathematics
Assessment (RMA)
Duration: 5 weeks (3
days each week =
15 days, from Tuesday
to Thursday)
Allotted time: 90
minutes per day
41. Implementing Guidelines
Rapid Mathematics Assessment (RMA)
RMA refers to the set of carefully crafted assessment
tasks aligned with MELC that aim to identify the strengths
and recognize the current mathematical knowledge and
skills of key stage 1. This assessment resource package
contains a teacher’s booklet, learner’s assessment
materials, and scoring sheets that will be used as pre and
post-assessment tools.
42. Implementing Guidelines
This oral assessment will gauge learners' current
mathematical abilities based on the Most Essential
Learning Competencies (MELC) and identify
strengths and areas that need improvement.
their
The
RMA pre-assessment will be conducted during the
first week while the post-assessment will happen on
the 5th week.
43. Implementing Guidelines
Designing Mathematics Learning Experiences
Considering the critical concepts and skills that key stage 1 learners
must practice given the five-week program duration, careful selection and
identification of math MELC will serve as the key content lessons. Explicit
and active learning experiences focused on mathematical foundational skills
are designed, with a strong emphasis on play-based, collaborative, and
hands-on learning approaches, and are evident in classroom practices
through well-designed activities that provide opportunities for learners to
practice and apply concepts and skills attained.
45. Implementing Guidelines
Collaborative Approach
The collaborative approach allows learners to
share ideas between and among themselves thus
developing the value of cooperation, respect,
camaraderie, and tolerance.
46. Concrete Pictorial Abstract
Approach
The concrete pictorial abstract builds on children’s prior
knowledge from the manipulation of concrete materials, followed
by learning through pictorial representations then progresses
through solving problems using abstract notations. In other
words, it teaches mathematical concepts in tangible ways until
learners can start solving problems using abstract mathematical
symbols.
Implementing Guidelines
48. Implementing Guidelines
Differentiated Instruction
Differentiated instruction takes into consideration the
unique individualities of learners based on their interests,
abilities, and readiness in flexible grouping and using
different instructional strategies to differentiate content,
process, product, and learning environment.
50. • Large Clock
Manipulative. Use a print-out of a
clock, and have students
the numbers and cut out
large
label
clock
prompts,
hands. Giving
them have them
manipulate
the clock to show the correct time.
Implementing Guidelines
Different Activities for
Telling Time
51. • Matching cards
Use cards with different
ways to write times and have
the students match them.
Puzzles are a fun way to
practice matching different
representations of time.
Implementing Guidelines
Different Activities for
Telling Time
52. Time to Color is a fun and simple
way to tell time. Students can color
the picture based on a set of times
given per color. It also develops the
mastery of the different colors and
develops the psychomotor skill of
the learners.skills
Implementing Guidelines
Different Activities for
Telling Time
53. Implementing Guidelines
Play-based Learning
Play-based learning uses purposeful and well-thought-
out tasks where learners can communicate, solve, and
strategize through fun and challenging games that
appeal to their current interests and support socio-
emotional development.
54. ✔ Math Scavenger Hunt
✔ Math Jeopardy
✔ Math Card Games
✔ Math Puzzles
✔ Math Trivia
✔ Online and Offline
Computer Based Games
✔ Math Trail
✔ Math Bingo
Implementing Guidelines
MATH Gamification
55. TYPES OF INSTRUCTIONAL MATERIALS
PRINT AUDIO VISUAL AUDIOVISUAL ELECTRONIC
INTERACTIVE
Educate learners and help the teaching-learning process
be more effective and meaningful.