Empower your learners with the best exam preparation resource available—Sigma Workbook. Designed with educators in mind, Sigma Workbook goes beyond traditional past papers by offering a comprehensive, interactive platform that enriches the learning experience. Sigma Workbook provides step-by-step solutions for Mathematics exam questions, ensuring that learners don’t just arrive at the right answer but understand the entire process. Each solution is accompanied by in-depth discussions that emphasize key concepts, highlight common errors, and reinforce critical thinking skills. This approach not only prepares students for exams but also deepens their understanding of the material. With Sigma Workbook, you can tailor your teaching to meet the needs of each learner. The platform allows for easy filtering and searching of questions by grade, subject, and topic, making it simple to integrate into your existing curriculum. Whether you're looking to reinforce a specific concept or provide targeted practice, Sigma Workbook is the perfect companion for your teaching strategy. Choose Sigma Workbook to give your learners the tools they need to succeed. With our comprehensive approach, your students will gain the confidence and knowledge required to excel in their Mathematics examinations and beyond. Prepare them for success—prepare them with Sigma Workbook. Try Sigma Workbook here https://www.educationcloud.co.za/ Click to buy Sigma Workbook Grade 12 for just R180 (get a 50% discount for 10 or more learners) https://www.educationcloud.co.za/product-page/mathematics

The STEMAHEAD DUEL is an innovative and interactive educational activity designed to enhance the learning of mathematics among students. By dividing the class into competitive teams and groups, this gamified approach encourages active participation, teamwork, and strategic thinking. The duel leverages a variety of questions across different levels of cognitive demand, tailored to align with mathematical learning objectives. Through the use of technology, like the Teachmate app, it provides real-time feedback and performance summaries, allowing for targeted improvement and a deeper understanding of mathematical concepts. The STEMAHEAD DUEL not only makes math learning more engaging but also fosters an environment where students can practice critical thinking and problem-solving skills in a fun and dynamic setting.

Revolutionise your teaching approach with the expanded Classmate Quizcards set, now offering an unparalleled resource for both Grade 11 and 12 Mathematics educators. This enhanced edition comprises 160 durable cards, each featuring a question on either side to total 320 engaging challenges. Designed to cover the breadth of the curriculum, the set spans 8 crucial topics: Number Patterns, Functions, Calculus, Probability, Statistics, Analytical Geometry, Trigonometry, and Euclidean Geometry, ensuring comprehensive coverage that prepares students for exams and beyond. Tailored for versatility, these Quizcards are not only perfect for individual study and group revision sessions but are also uniquely suited for the Mathematics DUEL, a gamified learning experience that fosters competitiveness and enjoyment in learning. Each card is categorized into four levels of cognitive learning, facilitating a gradual and deepened understanding of mathematical concepts. This approach supports a range of effective learning strategies, including spaced repetition, retrieval practice, and interleaving, making use of the Leitner System for an optimized study experience. Printed on high-quality 350 gsm board, the set is organized into approximately 160 topic-specific cards, making it easier for educators to direct focus and track progress across the diverse mathematical landscape. With the Classmate Quizcards set for Grades 11 and 12, educators are equipped to inspire a love for mathematics, enhance conceptual understanding, and elevate students' academic performance through interactive and effective learning sessions.

Reinforcement learning (RL) is a type of machine learning where an agent learns to make decisions by performing actions and receiving feedback in the form of rewards or penalties. Applying this concept to a learner studying mathematics involves creating a system where the learner is encouraged and guided towards correct solutions through a series of rewards and corrective feedback. In a mathematics learning context, reinforcement learning might look like this:   1. Initial Problem Presentation: The learner is presented with a mathematical problem to solve. This problem is tailored to their current level of understanding and skill.   2. Action by the Learner: The learner attempts to solve the problem, making decisions at each step of the process. These decisions could include choosing a method to solve the problem, selecting the next step in a multi-step problem, or deciding when they believe they have reached the correct answer.   3. Feedback System: After the learner takes action, they receive feedback. This feedback can be immediate or delayed and can take many forms:    - Positive Reinforcement: If the learner's action or solution is correct or on the right path, they receive positive feedback. This could be in the form of points, verbal praise, or other rewards that motivate further learning.    - Corrective Feedback: If the learner makes a mistake, they receive corrective feedback. This might include hints, explanations, or demonstrations of the correct method or solution. The idea is not just to indicate that a mistake was made, but to guide the learner towards understanding why it was incorrect and how to approach it correctly.   4. Adaptation and Progression: As the learner progresses, the system adapts the difficulty and nature of the problems to continuously challenge and support their learning journey. The system might also identify particular areas of weakness and focus more on these.   5. Repetition and Iteration: The learner continuously goes through cycles of attempting problems, receiving feedback, and adapting their approach. This iterative process is crucial in RL and helps the learner to gradually improve their understanding and skills in mathematics.   6. Data-Driven Insights: An RL system could also gather data on the learner's performance, using this to provide insights into their learning style, areas of strength and weakness, and potential personalized learning pathways.   In a broader educational context, such a system could be part of a larger adaptive learning platform, using technology to provide a personalised education experience. This aligns closely with interests in education and technology, and such systems could be particularly beneficial in environments where resources like experienced teachers or educational materials are limited. Implementing RL in educational contexts, especially in mathematics, could be a valuable direction for education.

I thought I could contain myself and say I'm delighted to introduce the Classmate Quizcards, but that would be a lie becaused I'm excited! to eventually configure quizcards digitally and still have utility as print cards. I was lucky to experience quizcards in my Std 9 (Grade 11) science class in 32 years ago as my then educator created cards with science questions in cigarette cardboxes. While I found the quiz sessions to be unfair as my group always won and the contributions of R1 per learner ended in my pocket every Friday, I have always been cognisant of the power organised and structured quiz sessions have. Now that I have cracked the code for digital quizcards (not flashcards) I am very excited. My excitement is fuelled by the possibilities of conceptual learning we can achieve with quiz sessions, individually, in groups or in class. Even better, I have spent the last few months learning and writing about 'Learning How to Learn', and being a mathematics educator I decided to focus on my first love 'Learning How To Learn Mathematics'. I have learned a great deal about learning and I think quizcards will accelerate learning of mathematics and every other subject for that matter. I can imagined how they will be of great use in retrieval practice, interleaving, spaced repetition and encoding concepts into the long-term memory (LTM). I have learned a lot about neuroplasticity and its role in growing the cognitive function of our prefrontal cortex and the effect of neurochemistry in understanding intrinsic motivation and how we could persue learning addiction like that of social media and other addictive substances. As such I have designed the Classmate Quicards Bot to incorporate most of these learnings such that the use of quizcards improves lerner's intellectual capacity through increasing synaptic connections with configurations to increase dopamine and serotonin secretion for addictive motivation. But it's not just about answering quiz questions. Learners are required to rate their understanding of the selected question, opening the lid on the blackbox of question comprehension. Learners can also indicate if they know the answer, unsure of the answer or do not know the answer. Now, before any confusion, let me hasten to say that quizcards are formative and not summative assessment tools. So, if the learner is unsure or does not know the answer, the bot redirects the lerner to conceptual notes specific to the quiz question (will include video in the future) for the learner to read. Here's a note for the quiz card in this post: Once the learner has read the notes they have to indicate their understanding of the question once more and then answer the question. The Classmate Bot uses a Leitner system for Spaced Repetition. Please watch the video below to see how the Leitner Systems works. Leitner System for Flashcards,https://youtu.be/oH-_3NBquSs?si=D3DwUC7J1lcoW74l I will share a specific video for using the Leitner system on the Classmate Bot. I am developing at least 100 conceptual quastions with corresponding notes per topic. This will translate to about 1000 quizcards for each grade in FET Mathematics. I will release the Functions quizcards by 02 February and they will be available through the Teachmate Bot. I will share more details in the next week.

I am delighted to share the first note of Mathematically Correct Notes that I will be developing with the aid of Generative AI in the first half of 2024. Please take a look and leave a comment of what you think of the notes and how they can be improved. These notes will be available to Teachmate subscribers as they are developed, In term 2 these notes will be supplemented with notes on Past Exam questions which will include adapted questions that can be used for exam practice. Please provide feedback by responding to the survey as well as commenting below.

You can now enrol your school in the Peer Tutoring Programme by registering for FREE at https://www.teachmate.africa/.(https://www.teachmate.africa/) Free registration is available to the first 100 schools. Just tap the Peer Tutoring button/tab and then choose 'Register' on the tab menu that follows.

Neuroscience research confirms that answering questions on a topic before you learn it increases engagement and assimilation during lessons on that topic. This supports the argumemt of the ABC Method that learners should prepare for lessons and questions should include concepts to be learned in the next week's lessons. Neuroplasticity We believed this increases leemsson engagement as learners would have had exposure to the concepts somewhat before the lesson. We also argued that the exended exposure to the material from preparation to lessons, to assessment and revision ensured encoding of such material into long-term memory (LTM). We thought familairity with the concepts would result in improved retrieval in assessments.

Are you ready to revolutionize your teaching approach and empower your learners with a collaborative and student-centric learning experience? 🌈 Look no further! 🚀 🔍 Explore the FREE PTP Guide that not only redefines education but propels it to new heights! 📈 Immerse your learners in a world where curiosity thrives, questions are celebrated, and collective success is the ultimate goal. 🌐 👩‍🏫 Why Join the PTP Guide? ✨ Foster Collaborative Learning ✨ Cultivate Critical Thinking ✨ Ignite a Passion for Lifelong Learning ✨ Empower Learners as Leaders ✨ FREE and Accessible for All 🎉 Join us on this educational journey that goes beyond the curriculum and transforms the learning landscape. 🚀 📢 Ready to embark on this exciting adventure? Simply click the link to access your FREE PTP Guide: https://publish.futurebooks.online/ptpguide2024(https://publish.futurebooks.online/ptpguide2024) 📚✨(https://publish.futurebooks.online/ptpguide2024📚✨) This is work in progress fousing on implementation next, We'll be sharing weekly tools to set up and bring the PTP to life in your school. #EducationTransformation #PeerTutoringProgramme #EmpowerLearning #CollaborativeEducation #PTPGuide 🌟

Effective encoding in mathematics involves strategies tailored to the nature of mathematical concepts and problem-solving. It starts with conceptual understanding and prior knowledge which form the bedrock for effective learning new mathematical concepts and skills. Regenerating or reorganizing mathematical knowledge often starts with reinforcing and solidifying the foundational concepts before progressing to visualization, practice, and logical connections. Here's a breakdown: Understanding as the Foundation Establishing Fundamentals: Building a strong foundation relies on comprehensively understanding fundamental mathematical concepts, principles, and operations. Prior Knowledge as Anchoring Points: Leveraging prior knowledge provides anchoring points for new learning, facilitating connections between old and new concepts. Deepening Understanding: Conceptual clarity enables students to delve deeper into mathematical topics, fostering a richer understanding of abstract or complex concepts. Reorganizing for New Learning Revisiting Prior Concepts: Before diving into new material, it's beneficial to revisit and reinforce foundational concepts, ensuring they are well understood and remembered. Connecting Concepts: Establish connections between previous knowledge and upcoming concepts. This interlinking aids in bridging gaps and promoting a coherent understanding. Visualisation, Practice, and Logic Visualisation as a Complementary Tool: Once foundational understanding is secure, visual aids like diagrams, graphs, and geometric representations enhance comprehension. Practice for Proficiency: Application and practice reinforce conceptual understanding. Solving problems and practicing procedures solidify knowledge and skills. Logical Connections to Strengthen Understanding: Encouraging logical reasoning helps students understand the 'why' behind mathematical procedures, fostering a deeper comprehension. Iterative Learning Process Learning in mathematics often follows an iterative process. It involves revisiting, reinforcing, and expanding on existing knowledge to scaffold new learning effectively. Importance of Conceptual Understanding Emphasizing conceptual understanding first lays the groundwork for higher-order thinking and problem-solving skills in mathematics. Relevance and Personal Engagement Relating mathematical concepts to real-world applications or personal interests heightens engagement and reinforces conceptual understanding. This is a short exrcept from Learning How To Learn Mathematics Guide that I am writing with the aid of Generative AI. I hope to publish the complete guide before the end of the first term after which I will provide training (in person and virtual) and videos on howt to master learning mathematics.

Done correctly these pillars develops learners with unbound possibilities and adults that lead society

Imagine if your learners could practice on questions similar to past exam questions. Well, you could give your learner a question and solution and then ask them to answer five similar questions for practice or formative assessment. This is what is possible with AskGPT which is an LLM (Large Language Model) app trained on the South African CAPS curriculum. The attached PDF file is a list of 21 question on Ratio, Rate and Proportion for Grade 8 that I prepared for my son. The first 16 questions are taken from the Maths Learne Book published by Ukuqonda Institute. I then wrote the first two step-by-step explanations which I use to prompt AskGPT to generate the 14 explanations from question 3 to 16. The five questions after the shaded rows numbered Question 1 to Question 5 were generated by AskGPT referring to the 16 questions provided. All the five step-by-step explanations are generated by AskGPT. A screenshot of the AskGPT Teach app Observe the resenmblance of Question 5 to number 2 in the provided questions. At this point this is achieved with basic prompting. I am working on Fine Tuning AskGPT with the South African CAPS curriculum and I will be using Mathematically Correct and Physical Sciences Spectrum to train it on Grade 11&12 Mathematics and Science. While fine tuning an LLM model take hours, preparing data take a lot of time and I am looking at ways to fast tract this process. Now imagine an LLM trained on all past exam question and their solutions. We will get there, soon. I am considering conducting workshops on using AskGPT and other LLMs to transform teaching and learning with a focus on lightening the load for educators and increasing productivity. At this point I am doing more work with higher education institutions but I spare time to investigate possibility for the classroom. Please complete the accompanying survey to indicate if you'd attend a workshop on LLM-Aided Teaching and Learning. Regards

Mathematically Correct is a conceptual study guide that covers all Grade 11 and 12 topics with explained concepts, step-by-step examples, practice exercises and exam-type tutorial exercises. The study guide is about understanding mathematical concepts than just answering questions like in Question and Answer publications. Download Mathematically Correct (here) and discover the mathematical language for yourself.

An animated presentation on angles between coplanar lines building to transversal postulates and their inverses

Generative AI models, such as GPT-3 and GPT-4, are designed to understand and generate human-like text based on the patterns observed in large datasets. When it comes to mathematics, there are certain challenges and limitations: Limited Understanding of Deep Mathematical Concepts: These models do not have intrinsic knowledge of mathematical principles. They can perform basic calculations and understand general concepts based on the data they were trained on, but more complex mathematical ideas may be beyond their grasp. Lack of Formal Structure: Mathematics often relies on strict formalisms and symbolic representations. The neural network architecture used in generative models may struggle to capture these intricacies, as it is primarily focused on natural language patterns. Inability to Perform Advanced Calculations: While generative AI models can perform basic arithmetic, they may not be able to handle more complex calculations and proofs that require a deep understanding of mathematical logic and structure. Training Data Limitations: If the training data lacks sufficient examples of complex mathematical reasoning and problem-solving, the model will not learn to handle these tasks effectively What Can Be Done About It? Specialized Models for Mathematics: Designing models specifically tailored to understand and solve mathematical problems can be a solution. This might involve new architectures that can better capture the formal structure of mathematics. Hybrid Systems: Combining generative AI with symbolic AI systems that can handle mathematical logic and calculations might provide a more robust solution. Enhanced Training Data: Including more advanced mathematical content in the training data, with correct solutions and step-by-step explanations, could help the model learn to handle more complex problems. Collaboration with Mathematical Tools: Integrating generative AI with existing mathematical software and tools could enable it to leverage those tools for complex calculations and reasoning. Human-AI Collaboration: For complex mathematical tasks, AI could act as an assistant to human mathematicians, providing insights, generating hypotheses, and performing routine calculations, while relying on human expertise for deeper understanding and creativity. In conclusion, while current generative AI models may have limitations in handling advanced mathematical tasks, there are promising avenues for overcoming these challenges through specialized design, integration with other systems, enhanced training, and collaboration with human experts. If the focus is on education, especially within the African continent, these improvements can potentially lead to more effective and engaging mathematical learning tools.

Artificial Intelligence (AI) will have a transformative impact on the future of education globally. There is a pressing need for updated curriculum standards, courses, tools, and assessments to prepare students safely and equitably for an age of AI. TeachAI is committing to provide thought leadership to guide governments and educational leaders in aligning education with the needs of an increasingly AI-driven world and connecting the discussion of teaching with AI to teaching about AI and computer science.

As we wrapped up 2022 and entered the year 2023 we were ushered with the groundbreaking, revolutionary AI application called ChatGPT. The app generates human-like conversations between human and the computer. I stumblwd into ChatGPT just after Christamas 2022 in a Medium article that sang praises of this new AI tool by OpenAI. I could not resist, I dived in, read more articles, watched videos and became an immediate convert and advocate. Fast forward four months later I got to create an app layered on the ChatGPT API with a specific focus on education, named AskGPT. While the debate rages on whether ChatGPT and other Large Language Models (LLM) applications are good for education or not, I decided to focus on the positives education can derive from such applications. I have found many education improvement ideas difficult to implement due to the difficulty of developing learning materials. Every teacher knows how difficult and time consuming it is to produce original learning materials and assessment task. Not anymore. AskGPT is designed to simplify the interaction with ChatGPT and add more functionality targeted at education as outlined below: As the GPT models become more intelligent and perform more tasks we will update AskGPT to the highest level of intelligence at any given point. We think teachers will find AskGPT a great tool to simplify their work and lighten the load of developing materials. Register for the our introductory event and become an insider. Send any question you may have lead@futureschools.org.za