Ask a Tech Teacher

JANUARY 28, 2022

Suddenly, Common Core Standards for Mathematical Practice take on a whole new importance: What Math Standard Expects. Construct viable arguments and critique the reasoning of others. In case you’re not a Minecraft aficionado, I’ll let you in on a secret: There are no manuals. Players learn by doing, failing, trying again.

Problem Solving 498

Problem Solving Teaching Chemistry Critical Thinking 498

Stephen Wolfram

MARCH 7, 2022

1 Mathematics and Physics Have the Same Foundations. 2 The Underlying Structure of Mathematics and Physics. 3 The Metamodeling of Axiomatic Mathematics. 4 Simple Examples with Mathematical Interpretations. 15 Axiom Systems of Present-Day Mathematics. 21 What Can Human Mathematics Be Like? Graphical Key.

Mathematics 116

Mathematics Physics Computer Algebra 116

Ask a Tech Teacher

JUNE 24, 2015

The result is a compelling argument that education is less a data download and more a fitness program for our brains. ” Common Core asks that students ‘independently discern’ In fact, critical thinking skills are implicit in almost all of the core literacy skills and mathematical practices. Persisting.

Critical Thinking 331

Critical Thinking Argumentation Problem Solving Communications 331

Ask a Tech Teacher

OCTOBER 21, 2015

The Common Core Standards for Mathematical Practice is a good starting point. If you can’t make that argument, you probably shouldn’t make the change. Share strategies for problem solving. Problems are inevitable. Everyone has them. What many people DON’T have is a strategy to address them. Share these with students.

Learning 377

Learning Problem Solving Critical Thinking Argumentation 377

Ask a Tech Teacher

MARCH 9, 2023

It also appears multiple times for most grade levels in the Math Standards, including the Standards for Mathematical Practice. Why is this skill so important?

Critical Thinking 396

Critical Thinking Problem Solving Argumentation Achievement 396

ED Surge

JUNE 4, 2024

For this week’s EdSurge Podcast, we talked with Khan to hear more about his vision of AI tutors and the arguments from his recent book. What would you say to that argument? I talked with a technologist who worked at IBM and had worked on IBM's Watson many years ago and was asked to use it to build an AI tutor.

Artificial Intelligence 337

Artificial Intelligence Argumentation Technology Teaching 337

ED Surge

NOVEMBER 7, 2023

That’s the argument of Peter Liljedahl, a professor of mathematics education at Simon Fraser University in Vancouver, who has spent years researching what works in teaching. He’s outlined the strategies in his book, “ Building Thinking Classrooms in Mathematics. ”

Research 362

Research Research Teaching Calculus 362

ED Surge

JANUARY 17, 2022

They learn about the subtleties of mathematical argument by presenting to each other in class. At the end of the semester, students completed one last written reflection, this time including a portfolio of work that supported their arguments. This was one of the big wins of the semester.

Argumentation 294

Argumentation Math Teaching Learning 294

Ask a Tech Teacher

MARCH 18, 2016

Where they diverge from you and I is they haven’t tested all the available methods for planning a story, constructing non-fiction, or building the evidence-based argument. Researching and creating timelines appeals to students’ visual, mathematic, and kinesthetic intelligences. an online tool. a spreadsheet program.

Argumentation 241

Argumentation Research Research Construction 241

ED Surge

APRIL 12, 2022

Universities generally cover a wide range of subjects, focused on an academic field, say mathematics or computer science. And the argument is that if a university degree is a good investment, it ought to be substantially more valuable than the opportunity cost. My argument is that the risk is too high, and the returns too low.

Argumentation 246

Argumentation Computer Economics Equality 246

ED Surge

DECEMBER 12, 2023

It could be mathematics, it could be chess, it could be novel writing, and it could be science. But even if as a program for 20 of the most self-starting people each year, the Thiel Fellowship beats higher education, does that really prove Peter Thiel’s argument that somehow college is broken? You look across all sorts of fields.

Finance 314

Finance Economics Argumentation Innovation 314

Ask a Tech Teacher

MAY 18, 2015

It also appears multiple times for most grade levels in the Math Standards, including the Standards for Mathematical Practice. Why is this skill so important?

Critical Thinking 285

Critical Thinking Problem Solving Argumentation Achievement 285

National Science Foundation

DECEMBER 8, 2021

We have argued (Terada, 2021) that the maintenance of false perceptions about STEM disciplines, specifically mathematics, plays a role in Black teachers’ participation in the field, and as a corollary, Black preservice teachers. A leading argument for bringing more STEM teachers into the field is rooted in commodification.

Education 98

Education Education Mathematics Argumentation 98

Robert Talbert, Ph.D.

FEBRUARY 10, 2023

In the original article, I gave a list of what computing skills mathematics majors should learn and when they should learn them. If anything, over the past seven years, my feelings about the centrality of computing in the mathematics major have gotten even more entrenched. Instead, bring it in and teach students how to use it well.

Mathematics 52

Mathematics Computer Algebra Calculus 52

Ask a Tech Teacher

DECEMBER 26, 2023

In mathеmatics, еducators can encourage critical thinking by prеsеnting rеal-world problems that require application of mathematical concеpts. By dissеcting litеraturе, studеnts not only develop analytical skills but also еnhancе thеir ability to construct rеasonеd arguments.

Critical Thinking 221

Critical Thinking Schooling Education Education 221

STEM Education Guide

MARCH 4, 2023

STEM vs. STEAM STEM stands for science, technology, engineering, and mathematics. STEAM stands for science, technology, engineering, arts, and mathematics. In this article, we’re looking at both sides of the argument. Should the arts be included in STEM education? First, a bit of background on STEM education.

STEM 98

STEM Mathematics Civil Engineering Engineering 98

Computing Education Research Blog

MARCH 18, 2024

It’s an unusual computing education research paper because we’re making an argument, not offering an empirical study. In the paper, we make an argument about what are reasonable questions to ask about each kind of data. We’re both annoyed at SIGCSE reviewers who ask for contextual information (Who were these students?

Research 116

Research Research Computer Argumentation 116

Teach Hub

JULY 19, 2024

Incorporate STEM and STEAM Activities STEAM (Science, Technology, Engineering, Arts, and Mathematics) or STEM (Science, Technology, Engineering, and Mathematics) involves curiosity, creativity, analysis, and experimentation, all of which are great for teaching problem-solving skills.

Problem Solving 108

Problem Solving Critical Thinking Creativity Mathematics 108

Stephen Wolfram

SEPTEMBER 27, 2024

Some involve alternate functional forms; others involve introducing additional functions, or allowing multiple arguments to our function f. But it turns out that the fact that this can happen depends critically on the Ackermann function having more than one argument—so that one can construct the “diagonal” f [ m , m , m ].

Computer 108

Computer Mathematics Argumentation Science 108

Futurum

SEPTEMBER 28, 2023

As you can imagine, there are many arguments both for and against these ideas. Emil is using mathematical tools to develop models of education and labour markets, which allow him to definitively state how efficiency can be maximised to improve education and labour market policies. “For What has Emil discovered?

Economics 111

Economics Government Mathematics Publication 111

National Science Foundation

JANUARY 20, 2022

Now, this is usually where I would launch into a well-honed set of arguments explicating the various economic, societal, and moral imperatives which make clear the need for America to tackle issues of equity and inclusion through a systemic transformation approach to cultivate a larger and more inclusive STEMM workforce.

Argumentation 98

Argumentation Biology Achievement Accessibility 98

Stephen Wolfram

JANUARY 31, 2023

But by the end of the 1800s, with the existence of molecules increasingly firmly established, the Second Law began to often be treated as an almost-mathematically-proven necessary law of physics. There were still mathematical loose ends, as well as issues such as its application to living systems and to systems involving gravity.

Energy 90

Energy Physics Argumentation Mathematics 90

Stephen Wolfram

NOVEMBER 10, 2021

And—it should be said at the outset—we’re still only at the very beginning of nailing down those technical details and setting up the difficult mathematics and formalism they involve.) Mathematically this can be thought of as being like decomposing the ruliad structure in terms of fibrations and foliations.). The View from Mathematics.

Physics 117

Physics Mathematics Computer Construction 117

National Science Foundation

SEPTEMBER 22, 2021

In its current form, school algebra serves as a gatekeeper to higher-level mathematics. Researchers and policy makers have pushed to open that gate—providing more students access to algebra, focusing in particular on those students historically denied access to higher-level mathematics. Berry & Larson, 2019; Levitt, 2019).

Algebra 76

Algebra Mathematics Flexibility Research 76

Futurum

SEPTEMBER 12, 2023

Library and research skills cover areas such as knowing how to reference and cite authors properly, being able to discern between reliable and unreliable sources of information, accessing scientific literature and giving accurate evidence-based arguments when writing scientific essays and reports. What do students learn from studying this?

Biology 81

Biology STEM Chemistry Critical Thinking 81

Stephen Wolfram

MARCH 5, 2024

Three centuries ago science was transformed by the idea of representing the world using mathematics. And that’s for example why things like mathematical formulas have been able to be as successful in science as they have. But what I want to do here is to discuss what amount to deeper questions about AI in science.

Science 116

Science Sciences Computer Mathematics 116

STEM Education Shopping

AUGUST 25, 2023

Logical thinking serves as the foundation of problem-solving and innovation within the diverse realms of science, technology, engineering, and mathematics. As a student pursuing a degree in Science, Technology, Engineering, or Mathematics, I have experienced firsthand how logical thinking forms the foundation for success in these fields.

Data analysis 52

Data analysis STEM Problem Solving Critical Thinking 52

Stephen Wolfram

JUNE 28, 2023

They’re mathematically more complex, but each one we successfully cover makes a new collection of problems accessible to exact solution and reliable numerical and symbolic computation. It’s the end of a long journey, and a satisfying achievement in the quest to make as much mathematical knowledge as possible automatically computable.

Computer 120

Computer Construction Calculus Mathematics 120

Stephen Wolfram

AUGUST 29, 2024

Pleasantly enough, given our framework, many modern areas of mathematical physics seemed to fit right in.) I had realized that one of the places the ideas of the Physics Project should apply was to the foundations of mathematics, and to metamathematics. And now the responsibility had fallen on us to do this.

Physics 112

Physics Computer Biology Mathematics 112

Stephen Wolfram

MAY 23, 2023

And for example doing a very simple piece of machine learning , we again get a symbolic object which can be used as a function and applied to an argument to get a result: And so it is with LLMFunction. By giving a second argument to LLMFunction you can say you want actual, structured computable output. are symbolic objects.

Technology 69

Technology Argumentation Computer Publication 69

Stephen Wolfram

SEPTEMBER 29, 2023

Since the standard Wolfram Language evaluator evaluates arguments first (“leftmost-innermost evaluation”), it therefore won’t terminate in this case—even though there are branches in the multiway evaluation (corresponding to “outermost evaluation”) that do terminate. If you set , then you set , you should get (not ) if you asked for.

Physics 102

Physics Computer Argumentation Construction 102

National Science Foundation

NOVEMBER 10, 2023

For over twenty years, several mathematics education initiatives (Campbell et al., Developing teacher leaders to help facilitate change in their schools’ mathematics programs was a major component of the TEAM-Math partnership (Martin et al., 2003; Martin et al., In this blog, we share three case studies of teacher leaders.

Mathematics 52

Mathematics Elementary Math Teaching 52

Futurum

APRIL 18, 2023

For the growing ML aspects of the field, backgrounds in computing, coding and mathematics are helpful. My father taught science and mathematics, and our house was full of science books. I had great arguments about mathematical proofs with my amazing grade school maths teachers and was a regular at Boston’s science museum.

Science 98

Science Sciences Learning Artificial Intelligence 98

Computing Education Research Blog

JULY 12, 2021

The former is important because the economic argument for computing education in schools is the most salient in the United States. Efforts to integrate computing to serve the needs of mathematics and science education are growing, but only a handful of states actively promote computing education to support mandatory education.

Computer Science 40

Computer Science Computer Curriculum Science 40

Stephen Wolfram

SEPTEMBER 9, 2021

Many would say that modern exact science was launched in the 1600s with the introduction of what we can call the “ mathematical paradigm ”: the idea that things in the world can be described by mathematical equations—and that their behavior can be determined by finding solutions to these equations.

Physics 66

Physics Science Sciences Mathematics 66

Wisconsin Science and STEM Education

SEPTEMBER 7, 2018

The second target connects to several science and engineering practices, with clear mathematical connections. It’s notable that their system aims to connect to literacy and mathematics learning while focusing on meaningful science practices. Supports conclusions with logical arguments. Collects, interprets, and applies data.

Argumentation 40

Argumentation Mathematics Data analysis Science 40

PCS Edventures

SEPTEMBER 22, 2021

While sciences and mathematics may take center stage, literacy skills have always been waiting in the wings, ready to make their debut. Mathematics and Literacy. Well, in recent years, you may have noticed an increased focus on supporting scientific thinking with written and oral arguments. We can’t forget literacy in math!

Mathematics 52

Mathematics Engineering Argumentation Science 52