Math

You may have recognized that OBP and SLG each measure slightly different things. OBP is only a measure of whether you got on base, while SLG makes a big fuss over your hits in particular, and how “big” they were. OPS (and even better, OPS+) are a quick summary of these combined, which is cool. However, OPS treats OBP and SLG as essentially equal in their importance, while getting on base is demonstrably of higher value. If you want a more accurate measure of offensive production that is (relatively) simple to calculate, look no further than weighted on base average, or wOBA. ...

BA, OBP, and SLG make up what is typically known as the triple slash line for hitting. You’ll often see something written like .275/.310/.382. That is BA, OBP, and SLG in order. However, we do like our summary statistics that reduce how many numbers we need to compare for making quick calls, so we use OPS: On Base plus Slugging. ...

We move on from batting average to discuss a much simpler statistic, as well as a weighted version of batting average. These two new statistics, along with batting average, have over the last decade come to comprise the base-level portfolio of a batter’s hitting abilities. ...

Though not the most intuitive statistic, batting average was a gold-standard statistic for many decades, and is still considered important today. ...

After a couple of years toying with the idea, I’ve finally decided to do a blogmas, my own take on creative challenges such as Advent of Code. In this case, you’ll be treated to 25 days of posts about the wonderful world of baseball statistics. ...

Applying mathematical topics and skills to the real world is an often-discussed tactic to engage students who are otherwise dismissive of, or frustrated with, mathematics as a whole. By connecting the math a student does with real life situations—particularly skills they will “need” in the future, but also more abstracted situations that pertain to real life—some people expect students to gain an appreciation for what mathematics can do, and feel inclined to study it so they can actively participate in these various applications. ...

Do you remember when you first learned how to round numbers? For example, to round 687 to the nearest hundred, we notice it’s between 600 and 700. Since 687 is closer to 700 than it is to 600, we round up to 700. Maybe you even learned a rule: Look at the digit to the right of the one you’re rounding. If it’s 5 or greater, round up. If it’s 4 or less, round down. Rules can be good, but they can also be dangerous. ...

With everything that happened last year, I managed to never write about my co-authorship of the Level 3 Puzzle Book put out by my company. It was the largest project I’ve been on, and the content I’m most proud of producing. Not only did I get to write and review close to half the puzzles in the book, I managed to learn the basics of InDesign and help compile the book into its final form. ...

As part of a new role at work, I’ve been researching aspects of funding for education in the United States. A recurring phrase is evidence-based interactions. I’m going to explore some of the facets of this idea, from its definitions and origins, to potential ramifications of its increasing usage in education. This post is a placeholder for those future investigations. The educational landscape is of interest to many people, and learning about some of the guiding tenets can help explain a lot of the situations states are finding themselves in. I’m excited to be diving in.

Admittedly, this post is ripping off a conversation that happened on a work Slack channel the other week. Here’s the general idea: If you count in a particular way, there are 12 options for how to put on your underwear, and 12 (ordered) options for putting on socks and shoes. Since there are the same number of options, we can create a bijection between the two scenarios. In other words, each choice of underwear arrangement will correspond to exactly one choice for socks and shoes. The question is what bijection is “natural”, for whatever definition of natural you choose to have in this strange scenario. Let’s explore it a bit. ...