Find the Factors | A Multiplication Based Logic Puzzle The Makings of First Class Maths | garethmetcalfe So the level 6 tests were introduced into primary schools at the end of KS2, and I took a sharp intake of breath: was the maths curriculum about to become narrowed for our most able learners? I appreciated that there were many children for whom a greater level of challenge was required to retain an interest and purpose in maths. However, I feared that in reality our most able children would be accelerated through monotonous, dry level 6 materials (or, more to the point, past papers) in order for them to reach the level 6 holy grail. My belief, a view supported by all manner of research and guidance, was that more able children need to be given deep, conceptual mathematical experiences rather than to be accelerated through maths content. I have also felt that there is a place for children to experience mathematical ideas, on occasion, in context in order for them to appreciate their underlying uses and purposes. Below is an extract from one of the tasks: The Village Elder. Like this:
Find the Factors | A Multiplication Based Logic Puzzle qbyte: Nick's Mathematical Puzzles Welcome to my selection of mathematical puzzles. What's new? See puzzle 160. The math puzzles presented here are selected for the deceptive simplicity of their statement, or the elegance of their solution. Explaining how an answer is arrived at is more important than the answer itself. Each puzzle is assigned a level of difficulty of between one and four stars, with four being the most difficult. The source for each problem is given at the bottom of the solution page. I welcome feedback of any kind. Some brief biographical information. Nick Back to top Independent Learning using iPods in Maths (iPodagogy) Since the beginning of September we have been trying to maximise the use of 1:1 iPods in year 6 in all areas of curriculum. The potential of enhancing teaching and learning in mathematics through the use of this technology has been particularly interesting. We have been developing the creative use of a range of Apps to support progress, engage children and add relevance to maths teaching with positive outcomes ( 10 Practical ways to use Apps in Maths ) We have also explored a wide range of maths specific Apps which have helped pupils mainly in the areas of number fact and tables recall. ( Apps for Maths ) Recently we have extended the use of the iPods to allow them to support independent learning, and play a central role in effective formative assessment. Each week the children complete regular short assessment tasks based on assessment criteria appropriate to the level of maths they are working towards. The children track their own progress on a target sheet in their exercise book.
Roderick Kimball's Path Puzzles Photo Our challenges this week are Path Puzzles — original creations by Roderick Kimball, a recreational mathematician and puzzler also known for his juggling and music in the traveling troupe The Flying Karamazov Brothers (check out this review). “Path Puzzles provides original challenges that test your spatial and logical problem solving skills,” says the mathematical sculptor George Hart. “Sharpen your pencil and your mind!” Path PuzzlesEach puzzle is a map with clues that will help you find your way across a grid. Now let’s add something new. Sometimes, a number will be adjacent to more than one row or column. We hope you have enjoyed this introduction to Path Puzzles. I enjoyed finding my way through Path Puzzles and asked Mr. Check out this short introduction to the Flying Karamazov Brothers (Roderick Kimball is “Pavel”). Solution Check back Wednesday, August 6 for solutions and commentary by Mr. Path PuzzlesTo see the full article, subscribe here.
Transum: Maths Puzzles There is a great amount of satisfaction that can be obtained from solving a mathematical puzzle. There is a range of puzzles on this page, all with a mathematical connection, that are just waiting to be solved. You can earn Transum Trophies for the puzzles you solve. How Many Squares? 2 How many different sets of four dots can be joined to form a square? Tower of Hanoi Move the pieces of the tower from one place to another in the minimum number of moves. Do you have any comments? If This Is Wrong, I Don't Want To Be Right - Growth Mindset Blog by Emily Diehl, Director, K-12 Professional Learning and Curriculum Design, Mindset Works Just Tell Me What To Do One of the most frustrating classroom experiences occurs when students disengage from learning because they're scared to be wrong. As a teacher, I met many students who wanted someone to just give them the answer and now with my own children, I see it again. In many schools, students will sit and wait for the answer, whether that answer comes from another student or from the teacher. I'd like to tell you a story about what this looks like and then share some tips on how to encourage students to take on challenges, risk being wrong, and begin to see "being wrong" as part of a natural process of learning. Once Upon A Classroom I observed this lack of willingness to engage in a middle school Science class a few years ago. However, the emerging issue was not even that this was a low-level task in which the students were not problem-solving or actively learning. 6 ÷ 2(1+2) = ?
Path Puzzles.com BrainBashers : Puzzles and Brain Teasers 3 Teaching Techniques That Made My 2014 - Mr Thomas' Blog January 2, 2015 At the start of this academic year I wanted to really put the theory of learning I knew into practice. Here are three teaching techniques I tried that I’ll be taking with me into 2015. 1. Interleave *everything* We know that interleaving concepts and procedures is a desirable difficulty that improves learning. It’s also made the questions I write far richer and more interesting than ever before. 2. The first way I’ve done this is through our departmental testing. The second way is through an idea I’ve borrowed from Bruno Reddy and Kris Boulton at KSA. 3. Quick Key is an optical scanning app for mobile phones. Like any technique, these three have worked well because I made them a habit.
Puzzles and Starters | cavmaths I love maths puzzles, I like solving them and I like setting them in lessons. I have written many posts about how I’ve solved them, so I thought I would put some time in and collate them into a single page for people to use as starters. Most puzzles have more than one solution, the solutions I’ve blogged are the ones I came up with. And I’ve tried to include my reasoning and other thoughts around them. Often there are more efficient and concise solutions, so I see after I’m done and some other point out. Here is a nice number puzzle that can be used for most year groups: A high school has a strange principal. There are one thousand lockers and one thousand students in the school. Here is a nice little puzzle based on the number 71 which would be suitable for higher GCSE students and those studying A Level: 71 is the smallest prime that can be expressed as x^2 + xy + 2y^2 where x and y are nonnegative integers, find x and y giving 71. Additional solutions can be seen here. 4 Pics 1 word