Microsoft whiteboard- This is excellent when teaching online to provide visual support when teaching. Teachers can also copy and paste questions or co-ordinate grids to be able to explain and show the correct way to plot co-ordinates unto a graph.

1. The Applications of Phet include:

• Simulations and Modelling

• Digital Manipulatives

• Visualizing abstract concepts

2. Concepts that can be taught using phet are:

   • Fractions

   • Vectors

   • Statistics

   • Measurement

   • Graphing

   • Trigonometry

3. Advantages include :

   • fostering inquiry based learning

   • developing conceptual understanding

   • enhancing engagement and motivation

   • supports differentiated instruction.

4. Practical Tips for Implementation

   • use as warm ups

   • allow students to verify answers and foster independent learning

   • create opportunities for use in discovery lessons where students explore the tools

   • use as an evaluation exercise.

Tool#2: Didax

https://www.didax.com/virtual-manipulatives.html

1. The Applications of this tool include mainly include Digital Manipulatives for math that reduces the need for physical resources. Students can manipulate tools and simulate the activities.

2. Concepts that can be taught using Didax

   • Algebra

   • Geometry and Measurement

   • Number Theory

3. Advantages of Using this tool

   • reducing costs of physical manipulatives

   • Caters to visual learners

   • fosters a deeper understanding of abstract concepts

   • accessibility is increased as students can continue to use this tool outside of the classroom to reinforce concepts

   • enhances problem solving skills and independent learning

4. Tips for integrating into the classroom

   • Use as a pre assessment tool

   • Use as an introductory activity /discovery

   • Use as a demonstration and have students model

   • Create Mastery /Practice activities

     
     

PhET Simulations (https://phet.colorado.edu/en/simulations/filter?subjects=math-and-statistics&type=html): This is a simulation platform that is highly interactive. It would allow students to interact with the concepts in a fun and enjoyable manner. It also has a broad range of mathematical activities for students, ranging from simple number addition to more complex vector addition. This platform is highly interactive, so it can be used both in-class and as part of homework assignments.

Reference the above video which highlights the use of a simulation in PHET in graphing linear equations.

2. KHan Academy

In-Class Activity

Begin with a short recap and discussion of what students learned from the videos.

Use Khan Academy's interactive exercises on linear equations during class for guided practice.

Monitor student progress in real-time using Khan Academy's teacher dashboard.

Address common errors or misconceptions on the spot.

Two digital tools: PHET and Liveworksheets

1. Phet helps to strengthen basics using visualizations, gamification and practical scenarios. Live worksheets provides practice for reinforcement

2. Concepts that can be taught using PHET are number theory, computation, statistics and Vectors. Live worksheets can be used to teach computation and consumer etc

3. Advantages of PHET and liveworksheets: students move at their pace, immediate feedback, target various learning styles.

4. PHET can be integrated as part of discovery learning and to summarize or conclude a lesson. Liveworksheets can be used as part of Evaluation and assessment to provide extra practice

PHET for discovery learning ( see vid above)

1. Khan Academy - Showing how to calculate the median https://www.khanacademy.org/math/get-ready-for-ap-statistics/xc9bacb4afa74e6e9:get-ready-for-exploring-one-variable-quantitative-data/xc9bacb4afa74e6e9:mean-median/e/calculating-the-median

   
   

   Pre test are available to acquire their prerequite knowledge on the topic.
   Interactive videos to engage visual learners. Quizzes to assess knowledge of what was viewed in the video based on the topic.

   Interactive and intuitive, engaging and assessments can be edited to suit the needs of students with options such as drag and drop, multiple choice, matching.

   
   Live worksheets.  matching activity with angles

   https://www.liveworksheets.com/node/5362592

   Specific Maths Concepts  - can get any Mathematical topic to suit students at any level. Interactive quizzes with real time feedback.

2. Instant feedback is received. The student can redo the assessments. Both apps can be integrated into the virtual teaching platform for blended learning.

3. Incorporate these technology tools into your virtual teaching especially when giving evaluation sessions (in class assessments)as well as homework. Material is readily available saving teachers time with preparation of an assessments and activities from scratch.

*Equation of a straight line y=mx +c

and coordinate geometry

Concepts are: gradient and y intercept

Advantages

*dynamic / interactive

*promotes conceptual understanding

* caters to diverse learners

*promotes discussions and reasoning

Practical tips

• Students are guided to discover

• Focus on students interactions with the software

• Provide support for students who are not comfortable with the software

• Promotes peer tutoring or cooperative learning

• Focus on a guided discovery- approach in using the software

This tool can be used to as a form of reinforcement for students when solving algebraic equations. This tool shows multiple different methods for solving the equations, example: completing the square, quadratic equation, graphing, factorization. This tools shows the steps for solving the equations as well as descriptions for each step.

Additional advantages:

1. Provides students with immediate feedback.

2. Promotes differentiated instruction.

Practical tips:

1. Use the software as a learning aid and not for answers.

2. Address potential misuse.

PHET

PHET can be used to show the relationship between vectors. This tool can be used to reinforce many concepts under the topic of Vectors such as the resultant vector, triangular law, parallelogram law.

Additional advantages:

1. Visual and interactive software

2. Active exploration

3. Fun and engaging

Practical tips:

1. Teacher demonstrations.

2. Whole class activities.

3. Student investigations

   
   

: https://notegpt.io/ai-podcast-generator?share=fc7ac98b

Khan Academy

This resource center has a variety of videos arranged from Pre-k to grade 8 for a number of subjects and topics.

It is useful especially for students who are audiovisual learners and require more time than usual to learn a specific procedure for solving a mathematical problem, that is, they can replay the video several times while practicing until they have mastered the concept.

It can be used for direct instruction where needed for topics like measurement, doing arithmetic with directed/integers using the number line, solving equations (linear, quadratic, simultaneous equations).

It also has readymade assessment (formative and summative) worksheets.

Chat Gpt -

Allows for the automated generation of assessments based on the specific content covered. This app is very flexible as it allows the user to tweak information as desired. The app based on the information given will also generate rubrics and allocate marks as guided. The assessments generated will be multi faceted in terms of generating short answer, multiple choice, true or false, long answer, as well as other forms.

Advantages

-students can compare their answers visually to the correct answer.

-students can gain the competence to use the tool to carry out transformations.

-they can observe what happens as certain parameters change as a form of exploration

Tips for integration into teaching

-use a varios stages of the lesson

-Familiarize students with the operation of the program

-Prepare answers beforehand if time is a limiting factor

• Offers structured video lessons, practice exercises, and mastery tracking.

  
  

• Can be used to introduce, reinforce, or review topics at the student's own pace.

Advantages:

• Adaptive learning paths for each student.

• Instant feedback with hints and videos.

• Great for individualized learning.

• It is very interactive - students get hands on experience whilst learning a concept

• Simulations are already created and are user friendly so it saves time

• Helpful for visual learners

• Caters to a wide scope of learners (middle school, elementary school, etc)

• Simple enough to be useful without being distractive - the simulations are very engaging and promotes learning.

Advantages of using Microsoft white board

• Easy to model procedures/processes for students

• Promotes better classroom management as the teacher can teach facing the class as opposed to with back to students whilst writing on the board

• Collaborating with students whilst teaching concepts

These apps can be used to

• To enhance lessons for better understanding of various mathematical concepts

• Enable students to expand their learning whilst using technology

• Makes learning fun

• Great tools for improving student engagement