The mental and intellectual development has lead humans to the ability we call "thinking". I was writing on this matter before (e.g. "Modelling Instructions, Design Thinking and Productive Thinking for a Science Teacher", or "Deliberate Thinking v. digging a Trench", and more here), so I just stress that many people confuse "thinking" and "mental activities". A mouse employs mental activities when getting through a maze; a monkey employs mental activities when reaching out for a banana. Those trial-and-error actions and reactions do not represent thinking. Thinking requires deliberate guiding your own thoughts toward a specific mental goal (that is a crucial part of achieveing a specific practical goal). It requires making judgmental decisions. When a person does not have any alternatives in the mind but just one way of actions, thinking is not required - a simple execution of the actions is sufficient. Only when alternatives exist and clear thinking should lead to the assessment and the decision. But many people confuse making a judgment with "following your gut feeling". If a person just "goes for it" that also does not represent thinking. A judgment must be based on analytical comparison of alternatives. And the process of deliberate guiding your thoughts automatically includes realization that those are your thoughts - it cannot be executed without self-reflection and self-awareness. These human features are so poorly understood that AI professionals don't even talk about them.
Some authors like using terms like "low-level thinking" and "high-level thinking". But in truth, those terms have been invented solely to make people fell better about themselves - in that case, everybody thinks - at some level. In reality, "low-level thinking" is not thinking but just a combination of stimuli and reactions. "High-level thinking" (also called "critical thinking -based on ability to make judgments) is just what thinking actually is.
I am not the first one who used this term, Algorithmic Thinking, but to my best knowledge I am the first one who uses this term to describe the exact current state of the field of artificial intelligence.