dummy.js

// utils/partial.js
export const partial = (func, ...args) => func.bind(null, ...args);

// actions/maths.js
export const addNumberOneAndNumberTwo = (first, second) => {
  return {
    type: 'SOMETHING THE REDUCER CAN CATCH',
    first,
    second,
  };
};

// containers/entry.js
import Entry from '../components/entry';
// other redux stuff
import { addNumberOneAndNumberTwo } from '../actions/maths';

const mapDispatchToProps = (dispatch) => {
  return {
    addNumberOneAndNumberTwo: (first, second) => {
      // you can see here I do NOTHING, just push the args I receive into the 
      // actual action creator func call
      dispatch(addNumberOneAndNumberTwo(first, second));
    }
  };
};

connect(mapStateToProps, mapDispatchToProps)(Entry);

// components/entry.js
import React, { Component } from 'react';
import NextLevel from './next_level';

class Entry extends Component {
  render() {
    return (
      <div>
        <NextLevel
          clickHandler={partial(this.props.addNumberOneAndNumberTwo, 1)}
        />
      </div>
    );
  }
}

export default Entry;

// components/next_level.js
import React, { Component } from 'react';

class NextLevel extends Component {
  fireIt() {
    this.props.clickHandler(2);
  }

  render() {
    return (
      <div>
        <button
          onClick={this.fireIt}
        >
          Click me
        </button>
      </div>
    );
  }
}

export default NextLevel;

Line 39 and 52: where do you normally get the parameters from? What if values 1 and 2 are already in the store?

Right now, I have those values passed in from mapStateToProps. Do you use local state for these?